Find Greatest Common Divisor of 48, 54 and 84, by listing out the factors.
Answer
The GCD of given numbers is 6.
Explanation
| factors of 48 are : | 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48 |
| factors of 54 are : | 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 |
| factors of 84 are : | 1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 84 |
We see that the Greatest Common Factor = 6.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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