Greatest Common Divisor (Noun)
Meaning
The largest integer that divides without remainder into a set of integers.
Classification
Nouns denoting quantities and units of measure.
Examples
- The greatest common divisor of 12 and 18 is 6, since 6 is the largest integer that divides both 12 and 18 without leaving a remainder.
- In number theory, the greatest common divisor of two integers is used to find the largest possible common factor between them.
- To find the greatest common divisor of a set of integers, you can use the Euclidean algorithm, which is an efficient method for computing the GCD.
- The greatest common divisor of 24 and 30 is 6, which means that 6 is the largest integer that divides both 24 and 30 without leaving a remainder.
- In mathematics, the greatest common divisor is often denoted by the symbol gcd(a, b), where a and b are the two integers for which the GCD is being computed.