For example, let's find HCF of 56 and 84 by the division method. Important points HCF of two numbers divides each of the numbers without leaving any remainder. HCF of two numbers is a factor of each of the numbers. HCF of two numbers is always less than or equal to each of the num...
In this article, we will find HCF of two numbers using factorisation and division method, with the help of solved examples. Also, find the HCF of three numbers, here at BYJU’S.
The smallest natural number ‘p’ that is exactly divisible by n1 and n2 is known as the LCM of n1 and n2 . For example, 15 is the LCM of 3 and 5. To solve LCM of numbers there are two methods. They are 1. Factorization method 2. Division method 1. Factorization Method In this...
So, HCF of 60 and 90 = 2 × 3 × 5 = 30HCF by Division MethodThe HCF of two numbers can be calculated using the division method. Let us understand this using the following steps and the example given below.Step 1: In this method, we divide the larger number by the smaller number...
HCF using Euclid’s Division Lemma Euclid’s Division Method is used to compute the Highest Common Factor of two or more given numbers say a, b, c…HCF(a, b) is the highest positive integer that divides both a and b. For example HCF of 48, 60 can be written as HCF(48, 60) = ...
3) The divisor of step 2 / remainder. Keep doing this step till R = 0(Zero). 4) The last step’s divisor will be HCF. The above steps can also be used to find the HCF of more than 3 numbers. Example: Find the HCF of 144 and 160 by division method. ...
Example 3: HCF (11, 25) = ? 11 = {1, 11} 25 = {1, 5, 25} HCF (11, 25) = 1 Method 2: Prime Factorization Using Factor Tree and Tabular Division From the word itself,Prime Factorizationis a method of getting the factors of a number that areprime numbers. Whether we are using...
The greatest number by which x, y and z divisible and gives same remainder in each case, that number is HCF of (x–y), (y–z) and (z–x). There are two methods to find the Highest Common Factor (HCF) Division method Let we have three numbers .Pick the smaller one and divide ...
(iii) 3, 6, 9 and 12 Solution: Question 2. Find the L.C.M. of each the following groups of numbers, using (i) the prime factor method and (ii) the common division method : (i) 18, 24 and 96 (ii) 100, 150 and 200
Both HCF and LCM of given numbers can be found by using two methods, they are division methods and prime factorization. HCF and LCM have many applications in our daily life. Let us understand the applications of LCM and HCF, also we will understand the relationship between these two, which...