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Question

If a = (22 × 33 × 54) and b = (23 × 32 × 5), then HCF (a, b) = ?

(a) 90
(b) 180
(c) 360
(d) 540

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Solution

(b) 180
It is given that:
a = (22 × 33 × 54) and b = (23 × 32 × 5)
∴ HCF (a, b) = Product of smallest power of each common prime factor in the numbers
= 22 × 32 × 5
= 180

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