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Question

Which of the following is not a common divisor of 50 and 75?

A
5
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B
25
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C
15
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D
None of these
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Solution

The correct option is C 15
To solve this problem, first we have to break down the numbers into their prime factors.

The prime factorization of 50 is:
2 × 5 × 5
The prime factorization of 75 is:
3 × 5 × 5

Thus, the common divisors are :
5 and 5 × 5.

Additionally, the greatest common factor is 25.

Hence, 15 is not a common divisor.

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