Find Greatest Common Divisor of 70, 120 and 217, by listing out the factors.
Answer
The GCD of given numbers is 1.
Explanation
| factors of 70 are : | 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70 |
| factors of 120 are : | 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 30 , 40 , 60 , 120 |
| factors of 217 are : | 1 , 7 , 31 , 217 |
We see that the Greatest Common Factor = 1.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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