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Question

HCF of (23 × 32 × 5), (22 × 33 ×52) and (24 ×3 × 53 × 7) is

(a) 30
(b) 48
(c) 60
(d) 105

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Solution

(c) 60

HCF = (23 × 32 × 5, 22 × 33 × 52, 24 ×3 × 53 × 7)
HCF = Product of smallest power of each common prime factor in the numbers
= 2 2 × 3 × 5
= 60

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