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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

 

Answer


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)

 

Answer


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

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

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