Question
Find Greatest Common Divisor of 240, 480 and 620, by listing out the factors.
Answer
The GCD of given numbers is 20.
Explanation
| factors of 240 are : | 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 40 , 48 , 60 , 80 , 120 , 240 |
| factors of 480 are : | 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 80 , 96 , 120 , 160 , 240 , 480 |
| factors of 620 are : | 1 , 2 , 4 , 5 , 10 , 20 , 31 , 62 , 124 , 155 , 310 , 620 |
We see that the Greatest Common Factor = 20.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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