Question

Find the hcf of the following numbers by prime factorisation method.(a) 76, 28(b) 24, 16, 36(c) 38, 64, 82​

Answer 1

Step-by-step explanation:

First we should know that what is the meaning of HCF.

HCF = Highest .Common .Factor

HCF of this following.

(a). 76, 28

=). 76 = 2×2×19 =). 28 = 2×2×7

=). 2×2 is the common

=). 2×2 = 4 is the answer.

(b). 24, 16, 36

=). 24 = 2×2×2×3 =). 16 =2×2×2×2 =).36= 2×2×3×3

=). 2×2 is the common

=). 2×2 = 4 is the answer

(c). 38, 64, 82

=). 38=2×19 =). 64= 2×2×2×2×2×2 =). 82= 2×41

=). 2 is the common

So, 2 is the answer.

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