Find Greatest Common Divisor of 60, 150 and 180, by listing out the factors.
Answer
The GCD of given numbers is 30.
Explanation
| factors of 60 are : | 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 30 , 60 |
| factors of 150 are : | 1 , 2 , 3 , 5 , 6 , 10 , 15 , 25 , 30 , 50 , 75 , 150 |
| factors of 180 are : | 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 30 , 36 , 45 , 60 , 90 , 180 |
We see that the Greatest Common Factor = 30.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
This page was created using
GCD Calculator