Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Finding the HCF of Algebraic Expressions

In this worksheet, students find the highest common factor of two algebraic expressions.

'Finding the HCF of Algebraic Expressions' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

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

Difficulty level:  

Worksheet Overview

This worksheet 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, 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)

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free