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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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14y ago
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7y ago

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

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3y ago

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Q: What is the greatest common denominator of 24 and 36?
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