Question
Find Greatest Common Divisor of 110, 180 and 540, by listing out the factors.
Answer
The GCD of given numbers is 10.
Explanation
| factors of 110 are : | 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 |
| factors of 180 are : | 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 30 , 36 , 45 , 60 , 90 , 180 |
| factors of 540 are : | 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 27 , 30 , 36 , 45 , 54 , 60 , 90 , 108 , 135 , 180 , 270 , 540 |
We see that the Greatest Common Factor = 10.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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