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The greatest common denominator of any set of denominators is infinite.

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Q: What are the greatest common denominator of 42?
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What is the greatest common denominator of 14 and 42?

The greatest common denominator is infinite.


What is the greatest common denominator of 30 and 42?

The greatest common denominator of any set of denominators is infinite.


What is the greatest common denominator of 36 and 42?

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What is the greatest common denominator of 24 and 36?

There can be no greatest common denominator. For supose x is the greatest common denominator. ie 24 divides x and 36 divides x. Then 2x is a common denominator and 2x > x so 2x is a greater common denominator than the greatest common denominator. That contradiction implies that there is no greatest common denominator.


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What is the greatest common denominator of 9 and 15?

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What is the greatest common denominator of 4 and 16?

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What is the greatest common denominator for 24 and 64?

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