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Question

What is the largest number that divides each one of 1152 and 1664 exactly?

(a) 32
(b) 64
(c) 128
(d) 256

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Solution

(c) 128
Largest number that divides each one of 1152 and 1664 = HCF (1152, 1664)
We know,
1152 = 27 × 32
1164 = 27 × 13
∴ HCF = 27 = 128

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