Find Greatest Common Divisor of 96, 112 and 144, by listing out the factors.
Answer
The GCD of given numbers is 16.
Explanation
| factors of 96 are : | 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 96 |
| factors of 112 are : | 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 56 , 112 |
| factors of 144 are : | 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 36 , 48 , 72 , 144 |
We see that the Greatest Common Factor = 16.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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