Question
Find Greatest Common Divisor of 270 and 450, by listing out the factors.
Answer
The GCD of given numbers is 90.
Explanation
| factors of 270 are : | 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 27 , 30 , 45 , 54 , 90 , 135 , 270 |
| factors of 450 are : | 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 25 , 30 , 45 , 50 , 75 , 90 , 150 , 225 , 450 |
We see that the Greatest Common Factor = 90.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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