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Question

The heights of two statues are 90 meters and 180 meters respectively. The greatest common divisor (GCD) of their heights is:

A
45
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B
60
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C
90
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D
None of the above
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Solution

The correct option is C 90
Find the factors of 90 and 180
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

Number 90 is the common factor which is the greatest factor.

Hence, 90 is the greatest common factor of their heights.

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