Question
Find Greatest Common Divisor of 735 and 294, using repeated division.
Answer
The GCD of given numbers is 21.
Explanation
Step 1 : Place the numbers inside division bar:.
| 735 | 294 |
Step 2 : Divide numbers by 3.
| 3 | 735 | 294 |
| 245 | 98 |
Step 3 : Divide numbers by 7.
| 3 | 735 | 294 |
| 7 | 245 | 98 |
| 35 | 14 |
Step 4 : Number 35 and 14, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot7 = 21 $$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