Question
Find Greatest Common Divisor of 90, 150 and 300, by listing out the factors.
Answer
The GCD of given numbers is 30.
Explanation
| factors of 90 are : | 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 30 , 45 , 90 |
| factors of 150 are : | 1 , 2 , 3 , 5 , 6 , 10 , 15 , 25 , 30 , 50 , 75 , 150 |
| factors of 300 are : | 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 300 |
We see that the Greatest Common Factor = 30.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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