answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the greatest denominator for 4 and 19?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the greatest common denominator of 4 and 16?

The greatest common denominator is infinite.


What is the greatest common denominator of 4 and 6?

The Greatest Common Denominator is 2


What is a fraction for which the greatest common denominator for the numerator and the denominator is 4?

4/4


Greatest common denominator of 4 5 6?

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


What is the greatest common denominator of 4 6 10 and 22?

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


What is the greatest common denominator of 15 and 28?

4


What is the least common denominator of 4 and 19?

It is 76


What is the GCD for 4 10 and 14?

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.


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.


What is the greatest common denominator of 60?

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.


What is the greatest common factor of 16 60 and 68?

The greatest common denominator is infinite.


What is the gcd of16 and 28 and 44?

The Greatest Common Divisor/Denominator is 4