Lcm least common multiple and hcf highest common factor. If you are preparing for psc and upsc exams, one of the important section in quantitative aptitude is lcm and hcf. Required number hcf of x r, y r and z r largest number which divides x, y, z to leave same remainder h. Properties of hcf and lcm formulas and solved problems. Hcf and lcm questions and answers, formulas,tricks,test download pdf unknown at 10. Hcf and lcm worksheet with venn diagrams teaching resources. F of two or more numbers is the greatest number that divides each of them exactly. Fully solved examples with detailed answer description. The least number which is exactly divisible by each one of the given numbers is called their l. Relation between hcf and lcm definitions, and formulas. Basic arithmetic plays a vital role in laying a strong foundation of mathematics, a subject that is dreaded by many.
Find a pair of numbers which have the hcf and lcm indicated not including the numbers given. Well, in the aptitude section, one of the well known and most important asked areas are lcm and hcf. If one of the numbers is 15, find the other number. Download hcf and lcm tnpsc tricks book pdf free download link or read online here in pdf.
Express 225 as the product of powers of its prime factors. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i. In this article, we are going to discuss the definition, the relation between hcf and lcm of given numbers in detail with examples. The common multiples of 3 and 4 are 12,24 and so on. Jaise ki aap sabhi jante hain ki hum daily badhiya study material aapko provide karate hain. Lcm hcf questions, formulas, tricks and pdf download. The least common multiple lcm of two or more numbers is the smallest of the numbers, which is exactly divisible by each of them, e. Least common multiple is the least nonzero number in. Finding lcm of more than two or array numbers without using gcd. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test. Formulas of hcf and lcm questions answers mcq quantitative. Where difference divisor remainder to find the smallest such number put k. Page 1 of 1 in this pdf we will discuss questions based on the concept of l. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and.
What are the applications of hcf and lcm in daily life. And the lcm is the smallest or least positive integer that is divisible by both a and b. F is 49, the two numbers can be assumed as 49x and 49y. A number may be made by multiplying two or more other numbers together. Hence, if the two numbers are 180 and 320, the hcf 20 and lcm 18032020 2880. Hence, the least possible number of casks of equal size required is 42. Apr 23, 20 gcse igcse maths mathematics find all factors find prime factors find lcm lowest common multiple find hcf highest common factor differentiated practice worksheets with space for answers solutions included. Hcf is also called as gcdgcm greatest common divisor, greatest common denominator, or greatest common factor. The least common multiple of 2 or more numbers is the smallest multiple of the common multiples. Hcf and lcm problems basic hcf and lcm problems advanced understanding lcm or least common multiple.
In this section, you will learn how to find highest common factor hcf and least common multiple lcm of the given numbers. Get detailed illustrated notes covering entire syllabus. Here you can practice problems on lcm and hcf quiz online test right now through this article. Excel has two useful functions for work with fractions. When a unique number divides exactly two or more given numbers then that number is. Mar 04, 2018 first express the fractions in their lowest terms.
Product of two numbers a and b ab their hcf their lcm. Lcm and hcf formula lcm and hcf formulas, properties and important ways to solve lcm and hcf questions are given below on this page below. The code below find the highest common factor and the least common multiple of two integers. Hcf obtained in step 2 will be the hcf of the three numbers. For this question we need to write all the given numbers, and then write their highest powers. Factor theory if n xaybzc where x, y, z are prime factors. Least common multiple is the least nonzero number in common multiples of two or more numbers. Hcf and lcm shortcut formula aptitude edit hcf and lcm important formulas, shortcut methods and tricks. Read each question carefully before you begin answering it.
Hcf of two or more numbers is the greatest number which divide all of them without any remainder. While we do not yet have a description of the hcf file format and what it is normally used for, we do know which programs are known to open these files. Hcf and lcm tnpsc tricks pdf book manual free download. Check if elements of array can be made equal by multiplying given prime numbers. Lcm and hcf shortcut tricks formulas, problems example. F question and answers with easy solutions in aptitude topic are present here.
Homework sheet, starting with prime factor decomposition and then using venn diagrams to find hcf and lcm. Learn properties of hcf and lcm and the relation between lcm and hcf of natural numbers with examples. It is also known as gcf greatest common factor or gcd greatest common divisor. Important lcm hcf questions, formulas, practice pdf.
The hcf and lcm of two numbers is 84 and 840 respectively. Allindiaexams provides you lots of fully solved aptitude problems on lcm and hcf questions and answers with explanation. Lcm of two or more numbers is the smallest number which is divisible by all the given numbers. Hcf of fractions lcm of fractions m to relatively prime or coprime numbers. The followings are the relation between hcf and lcm. We have to do the same normal calculation as above. Lcm and hcf tricks, problems and formulas bankexamstoday. Quantitative aptitude lcm hcf problems pdf download with. Lcm and hcf questions and answers updated daily aptitude. Prime factors of 15 3 x 5 prime factors of 24 2 x 2 x 2 x 3. Read online hcf and lcm tnpsc tricks book pdf free download link book now. The product of lcm and hcf of any two given natural numbers is equivalent to the product of the given numbers. Railways je 2019 cbt 1 hcf and lcm part 2 day 11 rrb je 2019 duration.
Tnpsc aptitude and reasoning coaching video class for all tnpsc exams. Find the lcm of 2 4 x 5 2 x 7 3 x 11 2, 7 6 x 5 4 x 2 7 x, 5 6 x 2 2 x 7 4 x 17. Maths formulas pdf download, math formula pdf in hindi. Aaj hum apke liye ek bahut hi important post lekar aaye hain. In arithmetic, the least common multiple or lcm of two numbers say a and b, is denoted as lcm a,b. Rrb je 2019 maths lecture 9 lcm and hcf basic youtube. Hcf and lcm for two numbers, hcf x lcm product of the two. The numbers which exactly divide a given number are called the factors of that number.
The numbers that are multiplied together are called factors of the final number. Learn here how to find lcm and hcf with simple steps. Relation between hcf and lcm definitions, and formulas byjus. Express 2 as the product of powers of its prime factors. Problems on lcm and hcf aptitude questions and answers. Hcf and lcm questions answers mcq quantitative aptitude for. So, greatest number of 4 digits divisible by 4,7, and 9999 171 9828. Resolve each one of the given numbers into a product of prime factors. Hcf is highest common factor, so we need to get the common highest factors among given values. Quantitative aptitude questions and answers hcf and lcm. Here is the interesting hcf calculator to find the highest common factor for the given list of numbers. With your concepts clear right from the beginning, you wont face any difficulty in understanding the various advanced concepts that are taught. We are working hard on a new platform for setting, building and monitoring homework. Hcf and lcm concepts formulas and problems for cat exam.
Two positive integers are said to be relatively prime to each other if their highest common factor is 1. The least common multiple is the smallest positive integer that is a multiple of all of the numbers supplied as arguments. Hcf is also known as the greatest common divisor gcd or the greatest common factor gcf. Every day thousands of users submit information to us about which programs they use to open specific types of files. Properties of hcf and lcm formulas and solved problems byjus. And many of the aspirants who are prepping for different kinds of exams like the staff selection commission, upsc, sssb, police, banks. The product of two numbers is equal to the product of their hcf and lcm. Lcm and hcf formulas, shortcuts and tricks with examples.
Check if lcm of array elements is divisible by a prime number or not. This site is like a library, you could find million book here by using search box in the header. Hcf and lcm questions and answers, formulas,tricks,test. Lcm least common multiple and hcf highest common factor formula. This particular set of cards allows students to practise working out the highest common factor hcf and lowest common multiple lcm of two numbers. F of two or more numbers is smaller than or equal to the smallest number of given numbers the smallest number which is exactly divisible by a, b and c is l. Lcm or least common multiple refers to the smallest quantity of number that is divisible by two or more given quantities of number without a remainder. Hcf highest common factor the hcf of two or more than two numbers is the greatest number that divides each.
In a similar way as explained for three numbers, we can find out hcf of more than three numbers also using division method. If the cost price of x articles is equal to the selling price of y articles, then % 100 x y. Candidates who are going to appear in any competitive exam can check lcm and hcf shortcut tricks and formulas from here. Hcf and lcm formula shortcut tricks with examples to. Tnpsc lcm and hcf maths video class in and english. Examples from edexcel igcse past papers on finding prime factorisations, hcf highest common factor and lcm lowest common multiple 1. Use the lcm function when you want to calculate the least common multiple of integers. Note that the questions have been carefully selected so that they provide good coverage of this topic and so that the opportunities for students to guess answers are minimised. Both hcf and lcm of given numbers can be found by using two methods. Formulas property 1 lcm x hcf product of two numbers h. Such factor is also referred to as the greatest common factor gcf or greatest common measure gcm or highest common divisor is the highest number which divides all the numbers in the list exactly.
Hcf and lcm is an important topic for competitive exams, entrance exams as. Hcf and lcm quick maths formulas product of two numbers a and b ab their hcf their lcm. There are understandable, simple solutions useful for rrb alp, group d and bank jobs. Factors and gcf, multiples and lcm, using prime factors to determine gcf, and. A ks3 powerpoint showing prime factor decomposition and how to use this to find hcf and lcm, didnt want to cover it in text so youll have o do the talking, there are questions for students to practise with.
Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. All students, freshers can download aptitude quiz questions with answers as pdf files and ebooks. Prime factor decomposition, hcf and lcm powerpoint teaching. Get the detailed information about hcf and lcm formula and its shortcut tricks with examples by continue reading this page that is prepared by the expert team members of. See the list of programs recommended by our users below. If you prepare properly, you can score 100 percent from this part. Hcf highest common factor this is the biggest number that will divide into the given numbers. M mainly follows the factorization of given numbers into prime numbers. Lcm x hcf profit and loss if the cost price of x articles is equal to the selling price of y articles, then gain if x y% 100 x y y.
As you all know that lcm and hcf is important topic and asked in many of exams, so who are engaged in preparing for government jobs can download pdf lcm and hcf shortcut tricks in hindi from here. We have to convert decimal into integers by making the number of digits after decimal point is. C program to find hcf and lcm programming simplified. F is the highest common factor or also known as greatest common divisor, the greatest number. To find the hcf and lcf of two number in java programming, you have to ask to the user to enter the two number, to find the hcf and lcf of the given two number to display the value of the hcf and lcm of the two numbers on the output screen as shown in the following program. Is post me hum aapke sath maths formulas pdf lekar aye hain.
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