Question
Find Greatest Common Divisor of 180 and 225, by listing out the factors.
Answer
The GCD of given numbers is 45.
Explanation
| factors of 180 are : | 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 30 , 36 , 45 , 60 , 90 , 180 |
| factors of 225 are : | 1 , 3 , 5 , 9 , 15 , 25 , 45 , 75 , 225 |
We see that the Greatest Common Factor = 45.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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