Question
Find Greatest Common Divisor of 70, 105 and 175, by listing out the factors.
Answer
The GCD of given numbers is 35.
Explanation
| factors of 70 are : | 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70 |
| factors of 105 are : | 1 , 3 , 5 , 7 , 15 , 21 , 35 , 105 |
| factors of 175 are : | 1 , 5 , 7 , 25 , 35 , 175 |
We see that the Greatest Common Factor = 35.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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