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Q.

The H.C.F. (by prime factorization method) 84, 144 is__________

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a

2

b

3

c

12

d

8

answer is C.

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Detailed Solution

Prime factorization of 84 and 144 is (2 × 2 × 3 × 7) and (2 × 2 × 2 × 2 × 3 × 3) respectively. As visible, 84 and 144 have common prime factors.

Hence, the HCF of 84 and 144 is 2 × 2 × 3 = 12.

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