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The greatest number that exactly divides 324, 1044 and 1548 is:
Question

The greatest number that exactly divides 324, 1044 and 1548 is:

A.

33

B.

39

C.

36

D.

28

Correct option is C

Given:
Numbers: 324, 1044, 1548
Solution:
Prime factorization of the given numbers:
324 = 22×342^2 × 34​​
1044 = 22×32×292^2 × 3^2 × 29​​
1548 = 22×32×432^2 × 3^2 × 43​​
=> HCF =22×32=2^2 \times 3^2= ​ 4 × 9 = 36

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