Question
Find Greatest Common Divisor of 388, 576 and 7164, by listing out the factors.
Answer
The GCD of given numbers is 4.
Explanation
| factors of 388 are : | 1 , 2 , 4 , 97 , 194 , 388 |
| 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 7164 are : | 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 , 199 , 398 , 597 , 796 , 1194 , 1791 , 2388 , 3582 , 7164 |
We see that the Greatest Common Factor = 4.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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