meritmock.com http://www.meritmock.com/2015/12/study-notes-lcm-and-hcf-shortcuts-pdf.html Study Notes : LCM and HCF Shortcuts PDF Dear aspirants, here is the study notes and pdf for LCM and HCF topic covered for IBPS Bank PO and Clerk Exam. To Download this useful shrot cut and trick pdf file link given below. LCM and HCF Formulas Aptitude Problems, Questions pdf Factor : A number is said to be a factor of other when it EXACTLY divides the other. Ex : 6 and 7 are Factors of 42. Multiple : A number is said to be a multiple of another, when it is Exactly divisible by the other Ex : 42 is a multiple of 6 and 7 Please re - read these definitions. So that you can get the difference between Factor and Multiple. Prime Number : Prime number is a number which has no factors except itself and Unity. Ex :2, 3, 5, 7, 11, 13, 17 etc are prime numbers Composite Number : Composite number is a number which has other factors besides itself and Unity. Ex : 14, 15, 16, 18 etc Co-Prime : Two numbers are said to be Co-Prime (Prime-To-Each Other) when they have no common factors except Unity. Note : The Co-Primes need not necessarily be Primes. 15 and 19 15, 17 and 22 are Co-Primes Common Multiple : A Common Multiple of two or more numbers is a number which is exactly divisible by each of them. Ex : 12 is a common multiple of 2, 3, 4 and 6 Least Common Multiple (LCM) : The LCM of two or more given numbers is the Least Number which is exactly divisible by each of them. Ex : 20 is the Common Multiple of 2, 4, 5 and 10 40 is the Common Multiple of 2, 4, 5 and 10 What if they ask you to find the HCF for 84 and 540 ? Will you write the factors to both of them and then find out the Highest number? If you are planning to do that . 4. 24 Here the Greatest number. Divide the longer number by the smaller one. But Here 20 is the Least Common Multiple of 2. 3. 24 In the above example they have given very small numbers. 18 Factors of 24 --> 1. Repeat this process of dividing the preceding divisor by the last reminder obtained. So it was easy for us to find the HCF. 4. don't worry. 2. 12. 8. Find the Product of Lowest Power of these Factors. 6. It is also Called Greatest Common Divisor (GCD) Ex : Find the HCF of 18. 4. till you get the reminder "0" The LAST DIVISOR is the HCF of the given TWO numbers . 9.C. 24 Factors of 18 --> 1. which divides them exactly is 6. Now divide the divisor by the reminder. So 6 is the H. Express each of the given number as the product of Prime Factors 2. This Product is the required HCF of the given Numbers Ex : Find the HCF of 84. There is another method to find HCF. Choose common factors 3. 6. and 10 Highest Common Factor (HCF) : The HCF of two or more numbers is the Greatest Number which divides each of them Exactly.F of 18. 540 If you find this method till confusing. please erase that thought from your mind :) Because there are several methods to make the process simple Methods of finding HCF : HCF by factorization : 1. 2. 3. 5 and 10.80 is the Common Multiple of 2. 5. HCF by Method of Division : Consider two different numbers. Ex : Find the HCF of 42. 70 Thats it. Now the answer is 14 :) Download LCM and HCF Shortcuts PDF .
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