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Question

The greatest common divisor of 16,24 and 36 is

A
2
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B
4
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C
8
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D
16
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Solution

The correct option is B 4
Step 1: Let's find the prime factors of 16, 24 and 36 using ladder method


Prime factorization of the numbers 16,24 and 36:
16 = 2 × 2 × 2 × 2 = 24
24 = 2 × 2 × 2× 3 = 23 × 3
36 = 2 × 2 × 3 × 3 = 22×32

The greatest common divisor of these numbers is the product of their common prime factors, that is 22=4

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