Question

Find the HCF of 144, 252, 630 by common division method.

Answer 1

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Answer 2

Answer:

The HCF is 18.

Step-by-step explanation:

Given : Number 144, 252, 630.

To find : The HCF of 144, 252, 630 by common division method?

Solution :

Common division method is dividing the number by long division and write the common factor from it.

2| 144                  2| 252                  2| 630

2| 72                   2| 126                   3| 315      

2| 36                   3| 63                    3| 15                

2| 18                    3| 21                     5| 5      

3| 9                     7| 7                         | 1    

3| 3                      

1| 1            

The prime factors are

$144=2\times 2\times2\times 2\times3\times 3$

$252=2\times 2\times3\times3\times 7$

$630=2\times 3\times3\times 5$        

The HCF of 144,252,630 is

$HCF(144,252,630)=2\times 3\times3$  

$HCF(144,252,630)=18$