What does HCF mean?
HCF stand for Highest Common Factor. The Highest Common Factor of two or more numbers is the largest number that is a factor of all of the given numbers.
FACTORS: EXERCISE
1. List all the factors of the following numbers.
- 6: 2 x 3 = 6
- 12: 4 x 3 = 12
- 7: 7 x 1 = 7
- 15: 5 x 3 = 15
- 36: 6 x 6 = 36
2. List the factors of both numbers, and write down the HCF.
- 8: 2 x 4 = 8
30: 6 x 5 = 30
HCF: The Factor of 8 = 2,4,1 and 8
The Factor of 30 = 1,2,3,5,6,10,15 and 30
So the CF is = 2,1 and the HCF = 2
- 5: 5 x 1 = 5
20: 4 x 5 = 20
HCF: The Factor of 5 = 1,5
The Factor of 20 = 1,2,4,5,10 and 20
The CF is : 1,5 so the HCF is = 5
- 9: 3 x 3 = 9
24: 6 x 4 = 24
HCF: The Factor of 9 = 1,3,9
The Factor of 24 = 1,2,3,4,6,8,12 and 24
And The HCF is = 3
- 18: 6 x 3 = 18
60: 11 x 6 = 60
HCF: The Factor of 18 = 1,2,3,6,9 and 18
The Factor of 60 = 1,2,3,4,5,6,10,12 and 60
The CF is: 1,2,3 and 6 so the HCF is = 6
- 3: 1 x 3 = 3
11: 1 x 11 = 11
HCF: 1
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