Find Greatest Common Divisor of 135 and 180, using repeated division.
Answer
The GCD of given numbers is 9.
Explanation
Step 1 : Place the numbers inside division bar:.
| 135 | 180 |
Step 2 : Divide numbers by 3.
| 3 | 135 | 180 |
| 45 | 60 |
Step 3 : Divide numbers by 3.
| 3 | 135 | 180 |
| 3 | 45 | 60 |
| 15 | 20 |
Step 4 : Number 15 and 20, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot3 = 9 $$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