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There can be no greatest denominator. Suppose x is the greatest denominator of two numbers a and b. That is to say, x is a multiple of a, x is a multiple of b and x is the greatest such number.
Now consider the number 2x. It is a multiple of a, it is a multiple of b and it is greater than x. This contradicts the statement that x is the greatest such number. So such an x cannot exist.
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Earn +20 ptsQ: What is the greatest denominator for 4 and 19?
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Continue Learning about Math & Arithmetic
What is the greatest common denominator of 4 and 6?
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What is a fraction for which the greatest common denominator for the numerator and the denominator is 4?
4/4
What is the greatest common denominator of 9 and 15?
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What is the greatest common denominator for 16 28 and 44?
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