Question
Find Greatest Common Divisor of 234 and 156, using repeated division.
Answer
The GCD of given numbers is 6.
Explanation
Step 1 : Place the numbers inside division bar:.
| 234 | 156 |
Step 2 : Divide numbers by 2.
| 2 | 234 | 156 |
| 117 | 78 |
Step 3 : Divide numbers by 3.
| 2 | 234 | 156 |
| 3 | 117 | 78 |
| 39 | 26 |
Step 4 : Number 39 and 26, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot3 = 6 $$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