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It's very difficult to find the greatest common denominator, mainly because
there is no such thing.

The one that people are always trying to find is the least common denominator.
That means the smallest one, and that's the one you need to be learning how
to find.

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Q: How do you find Greatest common denominator?
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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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