HIGHEST COMMON FACTOR ( HCF ).

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Presentation transcript:

HIGHEST COMMON FACTOR ( HCF )

The Highest Common Factor of two or more numbers is the greatest of all their common factors.

Methods for finding HCF 1) Listing method 2) Prime Factorisation Method 3) Division Method

HCF by Listing Method 12 and 18 HCF of Factors of 12 : 1 , 2 , 3 , 4 , 6 , 12 Factors of 18 : 1 , 2 , 3 , 6 , 9 , 18 1 , 2 , 3 , 6 Common Factors : 6 HCF of 12 and 18 :

HCF by Prime Factorisation Method 12 and 18 HCF of 2 12 2 18 3 9 2 6 3 3 3 3 1 1 12 = 2 x 2 x 3 18 = 2 x 3 x 3 HCF of 12 and 18 : 2 x 3 = 6

HCF by Division Method HCF of 12 and 18 12 18 < 1 ) 12 18 HCF of 12 and 18 : 6 12 2 6 ) 12 12