HCF BY COMMON DIVISION METHOD
Example : Find the HCF of 60 and 72.
Step 1. Arrange the given numbers in a line.
Step 2 . Divide the numbers by lowest common prime number. Write the quotient below the number.
2
30 , 36
Step 3 . Then divide the quotients by the lowest common prime number.
2
30 , 36
2
____________
15 , 18
Step4.Repeat the process till there are no common prime numbers to divide by.
2
30 , 36
2
____________
15 , 18
3
_____________
5 , 6
Step5. The product of the divisors is the required HCF.
2
30 , 36
2
____________
15 , 18
3
___________
5 , 6
Hence HCF =2 x 2 x 3=12
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