  # Find the HCF of Algebraic Expressions

In this worksheet, students will find the highest common factor of two algebraic expressions. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Popular topics:   Algebra worksheets

Difficulty level:   #### Worksheet Overview

This activity is about finding the Highest Common Factor (HCF) of two algebraic expressions.

Example 1

Find the HCF of 3p2qr3 and 6pq3r2

Take each term in turn.

HCF of 3 and 6 is 3.
HCF of p2 and p is p.
HCF of q and q3 is q.
HCF of r3 and r2 is r2.

So, the required HCF is 3pqr2.

Example 2

Find the HCF of 4y(y - 7)(7y + 4) and (y - 7)2(7y + 4)

The highest terms common to both are (y - 7) and (7y + 4).

So the HCF is (y - 7)(7y + 4)

Let's have a go at some questions.

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