Question
Find Greatest Common Divisor of 72, 108 and 2100, by listing out the factors.
Answer
The GCD of given numbers is 12.
Explanation
| factors of 72 are : | 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 72 |
| factors of 108 are : | 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 108 |
| factors of 2100 are : | 1 , 2 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 14 , 15 , 20 , 21 , 25 , 28 , 30 , 35 , 42 , 50 , 60 , 70 , 75 , 84 , 100 , 105 , 140 , 150 , 175 , 210 , 300 , 350 , 420 , 525 , 700 , 1050 , 2100 |
We see that the Greatest Common Factor = 12.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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