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Q.

Find the largest number that divides each one of 1152 and 1664 exactly.


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a

32

b

64

c

128

d

256 

answer is C.

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Detailed Solution

Given are the numbers, 1152 and 1664.
The largest number which divides 1152 and 1164 exactly will be their HCF.
So, we proceed with the prime factorization of 1152 and 1164, to get their HCF as follows,
1152=2×2×2×2×2×2×2×3×3 1664=2×2×2×2×2×2×2×13
So, we can observe that the product of the common factors is
2×2×2×2×2×2×2=128 .
Therefore, HCF (1152, 1664) = 128.
Hence, the correct option is (3).
 
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