What is the definition of the Greatest common divisor or GCD?

Answer 1

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

Answer 2

The greatest common divisor, also called the greatest common factor or GCF, is the largest integer that will divide evenly with no remainder into all the members of a given set of numbers.

Answer 3

The largest thing that two or more things have in common is the greatest common thing.

Answer 4

The greatest common divisor is the largest number that can divide into all the members of a given set evenly with no remainder.

Answer 5

The greatest common denominator, like the greatest common multiple, is an infinite amount and not very practical for problem solving.