More lessons for gcse maths math worksheets videos, examples and solutions to help gcse maths students learn how to find the highest common. For the better understanding of the concept lcm lowest common multiple and hcf highest common factor, we need to recollect the terms multiples and factors. Th e music director wants to place these 42 musicians in equal rows but without mixing the players. Hcf and lcm questions answers mcq quantitative aptitude. Using prime factors gcf and lcm suggested learning strategies. Lcm and hcf formulas, shortcuts and tricks with examples. Hcf and lcm index, mathsfirst, institute of fundamental. Hcf is highest common factor, so we need to get the common highest factors among given values. How to find the 2 numbers when their lcm and hcf are.
In this section, you will learn how to find highest common factor hcf and least common multiple lcm of the given numbers. The lcm of two or more fractions is the least fraction or integer which is exactly divisible by each of them. Candidates can take the problems on lcm and hcf aptitude quiz from this article. Dec 23, 2015 subscribe on facebook too in this video i am showing how to find lcm and hcf easily. Problems on lcm and hcf aptitude questions and answers. The highest common factor hcf, also known as the greatest common divisor gcd, of two or more numbers, is the largest number which is a factor of each. The code below find the highest common factor and the least common multiple of two integers. On the other hand, least common multiple lcm is the smallest common multiple of the whole numbers. Here you can find both objective type and multiple choice aptitude.
Writing a program to find the hcf and lcm of two whole numbers is. Least common multiple is a number which is a multiple of two or more than two numbers. Close reading, create representations factors are useful when solving many kinds of problems involving whole numbers. F question and answers with easy solutions in aptitude topic are present here. May 27, 2016 java program to calculate hcf and lcm. In this section, we will learn how to solve word problems involving highest common factor and lowest common multiple. Lcm least common multiple and hcf highest common factor formula. A number which is exactly divisible by all the given numbers is common multiple.
In 30 minutes, how many times do they toll together. Hcf and lcm calculator highest common factor and least. Any integer greater than 1 can be written as a product of primes. This sheet covers prime factorisation and finding the hcf and lcm of two or three numbers. F of two or more than two numbers is the greatest number that divides each of them exactly. What are the applications of hcf and lcm in daily life. Due to some limitations in web options, math symbols, notations were unable to view properly. The multiples of 6 are 6, 12, 18, 24, 30 and so on. While calculating lcm, find the highest exponent for each prime factor among the numbers. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i.
The numbers that are multiplied together are called factors of the final number. Greatest length of such a piece would be given by h. Gail and hermione are asked to find 90 as a product of its prime factors. Here 20 is the least common multiple of 2, 4, 5, and 10. Find the hcf and lcm of example 12 and 20 18 and 24 30 and 42 b 15 and 40 7 and 12 9 and 60 write 24 as a product of its prime factors. 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 two number to display the value of the hcf and lcm of the two numbers. Hcf and lcm worksheet with venn diagrams teaching resources. Excel has two useful functions for work with fractions. Hcf is also known as the greatest common divisor gcd or the greatest common factor gcf.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. Home questions and answers hcf and lcm solved examples. I tried it by taking mn and then taking the factors of n which are not in. Lcm hcf questions, formulas, tricks and pdf download. Sep 26, 2014 homework sheet, starting with prime factor decomposition and then using venn diagrams to find hcf and lcm. Highest common factor hcf and least common multiple lcm are calculated by either factorization method or division method. You can choose to include answers and stepbystep solutions.
How to calculate least common multiple lcm and highest common factor hcf. Jan 23, 2018 ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32 and so on. Gcse hcf and lowest common multiple, highest common factor. Lcm least common multiple and hcf highest common factor. Hence, if the two numbers are 180 and 320, the hcf20 and lcm 18032020 2880. A number may be made by multiplying two or more other numbers together. There are understandable, simple solutions useful for rrb alp, group d and bank jobs. 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.
Hcf and lcm formula shortcut tricks with examples to. Least common multiple lcm refers to the smallest quantity of number that is divisible by two or more given quantities of number without a remainder. All students, freshers can download aptitude quiz questions with answers as pdf files and ebooks. Fully solved examples with detailed answer description. This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers. As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more integers, when at least one of. Highest common factor and least common multiple calculation. Whenever we have to solve this sort of question, remember the formula. Prove that one of the numbers must be divisible by the other. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and. Also find the definition and meaning for various math words from this math dictionary.
A multiple of a given number is obtained by multiplying that number by a whole number. The least number which is exactly divisible by each one of the given numbers is called their l. Gail begins by writing 90 9 x 10 hermione begins by writing 90 3 x 30 work out a final answer for gail. In this section of hcf and lcm problems, next, we are going to see l. Lets proceed to the highest common factor hcf and the least common multiple lcm. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty.
Properties of hcf and lcm formulas and solved problems. The product of two numbers is equal to the product of their hcf and lcm. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and hcf. If a number p divides another number q exactly, we say that p is a factor of q i. Homework sheet, starting with prime factor decomposition and then using venn diagrams to find hcf and lcm. More lessons for gcse maths math worksheets videos, examples and solutions to help gcse maths students learn how to find the highest common factor hcf and lowest common multiple lcm. If you prepare properly, you can score 100 percent from this part. If the compound interest is reckoned quarterly here, the interest is added to the principal every quarter i. Hcf highest common factor this is the biggest number that will divide into the given numbers. The lowest common multiple lcm of 2 or more numbers is the smallest number that is a multiple of each of them.
To find the lcm or hcf of a set of numbers, first represent them as the product of prime factors. Lcm is smallest positive number that is multiple of both. Example 1 th e youth orchestra has 18 violinists and 24 fl utists. Lcm and hcf of two numbers are given we have to find the numbers. Allindiaexams provides you lots of fully solved aptitude problems on lcm and hcf questions and answers with explanation. F of two or more numbers is the greatest number that divides each of them exactly. We also share information about your use of our site with our social media, advertising and analytics partners. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests. Highest common factors are those integral values of number that can divide that number. Both hcf and lcm carry a great significance in mathematics, physics and engineering.
The highest common factor hcf, also known as the greatest common divisor gcd, of two or more numbers, is the largest number which is. In bank po exams we can get 3 to 5 marks with use of hcf and lcm. C program to find hcf and lcm programming simplified. Hi friends, here i am going to explain about hcf and lcm. We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers.
It is also called as smallestlowest common multiple. They are also excellent for onetoone tuition and for interventions. Quantitative aptitude lcm hcf problems pdf download with. Least common multiple is the least nonzero number in common multiples of two or more numbers.
Lcm and hcf shortcuts gr8ambitionz prepare for ibps po. It is certainly not true the product of two numbers is not necessarily the product of the hcf and lcm. The least common multiple of a and b will be 8xy 192 so that xy 1928 24 233. We know that the factors of a number are exact divisors of that particular number. As in hcf we will choose the minimum common factors among the given so answer will be third option. The least common multiple is the smallest positive integer which is multiple of two or more numbers. Being able to find the highest common factor hcf and lowest common multiple lcm of two numbers will help you when it comes to working with fractions, but there are also many reallife applications that use them.
The lcm of two or more given numbers is the least number which is exactly divisible by each of them. If number p divided another number q exactly, we say that p is a factor of q. What is hcf highest common factor definition and meaning. Formulas property 1 lcm x hcf product of two numbers h.
If you are preparing for psc and upsc exams, one of the important section in quantitative aptitude is lcm and hcf. Saying that the highest common factor of a and b is 8 means that a 8x and b 8y for some integers x and y that have no further common factors. Subscribe on facebook too in this video i am showing how to find lcm and hcf easily. Find the hcf or lcm of numbers using prime factors key ideas.
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