Home Page
Order Mathematics Software
About the Interactive Maths Software Series
Mathematics Software Tutorials
Year 7 Mathematics Software
Year 8 Mathematics Software
Year 9 Mathematics Software
Year 10 Mathematics Software
Homework Mathematics Software
Tutor Mathematics Software
Mathematics Software Platform
Trial Mathematics Software
Feedback
Terms & Conditions
Our Policies
Contact

G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

Order a 12-month Year 7 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 8 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 9 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 10 Interactive Maths software Homework Licence for only $19.95.

Year 10 Interactive Maths - Second Edition


Highest Common Factor

The highest common factor (HCF) of two numbers (or expressions) is the largest number (or expression) which is a factor of both.

Consider the highest common factor of 24 and 40.

24 and 40 expressed as the product of prime factors.

The common factors of 24 and 40 are 2, 4, and 8. So, the highest common factor is 8.


Note:

The highest common factor is the product of the common prime factors.

HCF = 8

The highest common factor of algebraic expressions is useful in factorisation; and it is the product of the common prime factors, which includes both common numerical and algebraic factors.

Example 1

Find the highest common factor of three algebraic expressions.

Solution:

The three expressions expressed as the product of prime factors.

HCF = 2ac which is the product of common factors.


Example 2

Find the highest common factor of these expressions.

Solution:

The three expressions expressed as the product of prime factors.

HCF = 5abc which is the product of common factors.

The three expressions expressed as the product of prime factors.

HCF is the product of common factors.


Key Terms

highest common factor, HCF, highest common factor of algebraic expressions

| Home Page | Order Maths Software | About the Series | Maths Software Tutorials |
| Year 7 Maths Software | Year 8 Maths Software | Year 9 Maths Software | Year 10 Maths Software |
| Homework Software | Tutor Software | Maths Software Platform | Trial Maths Software |
| Feedback | About mathsteacher.com.au | Terms and Conditions | Our Policies | Links | Contact |

Copyright © 2000-2022 mathsteacher.com Pty Ltd.  All rights reserved.
Australian Business Number 53 056 217 611

Copyright instructions for educational institutions

Please read the Terms and Conditions of Use of this Website and our Privacy and Other Policies.
If you experience difficulties when using this Website, tell us through the feedback form or by phoning the contact telephone number.