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Question

Find the HCF of 12 , 18 , 24.

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Solution

Factors of 12=
1 x 12, 12 x 1
2 x 6 , 6 x 2
3 x 4 , 4 x 3
So the factors of 12 are 1, 2, 3, 4, 6 ,12
Factors of 18=
1 x 18 , 18 x 1
2 x 9 , 9 x 2
3 x 6 , 6 x 3
So the factors of 18 are 1, 2, 3, 6, 9, 18
Factors of 24=
1 x 24 , 24 x 1
2 x 12 , 12 x 2
3 x 8 , 8 x 3
4 x 6 , 6 x 4
So the factors of 24 are 1, 2, 3, 4, 6, 8, 12. 24
Common factors are = 1, 2,3,6
Highest common factor (HCF) = 6

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