Question:
What is the largest number that divides each one of 1152 and 1664 exactly?
(a) 32
(b) 64
(c) 128
(d) 256
Solution:
(c) 128
Largest number that divides each one of 1152 and 1664 = HCF (1152, 1664)
We know,
$1152=2^{7} \times 3^{2}$
$1164=2^{7} \times 13$
$\therefore \mathrm{HCF}=2^{7}=128$
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