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Topic
 		 Exploring whole numbers ( Number Operations & Number Theory )
Term    : 1 
Module : 1 - Capturing Data 
Unit 1    : Numbers Made Easy (  Rational Numbers ) -                                                             Properties & Special Operations
                                          HCF  ( or GCF ) 		 
HCF

or

GCF
 

The HCF or highest common factor of two or more numbers is the highest number that can divide exactly into each number without leaving a remainder.

In the example below, the numbers 120 and 72 can both be divided exactly by:
2,3,4,6,8,12, and 24. Since 24 is the largest of these numbers, it is called the HCF.
(or GCF - Greatest Common Factor).

To find the HCF  we must :
(i) Find the prime factorization of each number. (see previous topic).
(ii) Select the factors common to all the numbers.
(iii) Find the product of these common factors.
 

  
Equivalent
Fraction
(Diagram)

 

 

  
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