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Method of Finding HCF

What is the l...

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 = $2^{7} \times 3^{2}$
1164 = $2^{7} \times 13$
∴ HCF = $2^{7}$ = 128

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