Question

Hcf of 76 and 28 by prime factorization method

Answer 1

76 = 2*2*19
28 = 2*2*7

Now hcf is heigest common factor that is 2*2 = 4 ans

Answer 2

HCF of 76 and 28 is 4

Given :

The numbers 76 and 28

To find :

HCF of 76 and 28

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 76 and 28

Step 2 of 3 :

Prime factorise the given numbers

On prime factorisation we get

76 = 2 × 2 × 19

28 = 2 × 2 × 7

Step 3 of 3 :

Find HCF of 76 and 28

We know that for the given two or more numbers HCF is the greatest number that divides each of the numbers

Hence the required HCF

= HCF of 76 and 28

= 2 × 2

= 4

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