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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.

Q: What is the greatest denominator for 4 and 19?

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The Greatest Common Denominator is 2

4/4

The greatest common denominator is infinite. The least common denominator is 45.

16 = 2428 = 22 * 744 = 22 * 11greatest common denominator: 22 = 4

Their least common denominator is their product. Their greatest common denominator is infinite.

Related questions

The greatest common denominator is infinite.

The Greatest Common Denominator is 2

4/4

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

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

4

It is 76

The greatest common denominator (GCD) refers to a denominator that is COMMON to two or more numbers. You have only one number in the question! The greatest denominator of any number is itself.

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.

The greatest common denominator is infinite.

In order to have a greatest common denominator, there has to be two numbers and they both have to be fractions. 60 has no greatest common denominator.

The Greatest Common Divisor/Denominator is 4