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The HCF of 36, 48 and 172 is _______.
Question

The HCF of 36, 48 and 172 is _______.

A.

4

B.

12

C.

8

D.

6

Correct option is A

Given:

Numbers = 36, 48, 172

We need HCF (36, 48, 172).

Solution:

Prime factorization

36 = 22×322^2 \times 3^2​​

48 =24×3 2^4 \times 3​​

172 =22×43= 2^2 \times 43​​

Take common factors

Common prime factor among all three =22=4 2^2 = 4​​

So,

HCF(36, 48, 172) = 4

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