Euclid Algorithm to find HCF
Euclid Algorithm to find HCF
Euclid Division Algorithm to Find HCF of More Than Two Numbers:
To find HCF of more than two numbers we will first apply Euclid Division Algorithm on two numbers and Hcf so obtained then grouped we the third number and so on.
Example: To find HCF of 12, 15 and 21
Solution: Find HCF of 12, 15
15= 12 X 1+ 3
12= 4 X 3 + 0
So HCF(15,12) is 3
Now, Find HCF of 3 and 21
21= 7 X 3 + 0
As remainder is zero
So HCF( 3, 21) = 3
Thus HCF of (12,15,21) = 3
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