GCD of algebraic expressions

The greatest common divisor of algebraic expressions is the largest factor shared by all terms.

Quick answer

The greatest common divisor of algebraic expressions is the largest factor shared by all terms.

Main formula
Find common numeric factors and the smallest powers of repeated variables.
Quick example
In 6x² and 9x, the common factor is 3x.

Definition

The greatest common divisor of algebraic expressions is the largest factor shared by all terms.

Main idea

Find common numeric factors and the smallest powers of repeated variables.

Example

In 6x² and 9x, the common factor is 3x.

How to study it

Write the known values, identify the operation, substitute carefully and check the result with the inverse idea when possible.