Find Greatest Common Divisor of 432, 576 and 1008, by listing out the factors.
Answer
The GCD of given numbers is 144.
Explanation
| factors of 432 are : | 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 27 , 36 , 48 , 54 , 72 , 108 , 144 , 216 , 432 |
| factors of 576 are : | 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 144 , 192 , 288 , 576 |
| factors of 1008 are : | 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 14 , 16 , 18 , 21 , 24 , 28 , 36 , 42 , 48 , 56 , 63 , 72 , 84 , 112 , 126 , 144 , 168 , 252 , 336 , 504 , 1008 |
We see that the Greatest Common Factor = 144.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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