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To have a common denominator, you usually have two or more numbers. By listing only one number then it is its own common denominator.

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Q: What is Greatest common denominator of 292?
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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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