Question
Find Greatest Common Divisor of 441, 567 and 693, using repeated division.
Answer
The GCD of given numbers is 63.
Explanation
Step 1 : Place the numbers inside division bar:.
| 441 | 567 | 693 |
Step 2 : Divide numbers by 3.
| 3 | 441 | 567 | 693 |
| 147 | 189 | 231 |
Step 3 : Divide numbers by 3.
| 3 | 441 | 567 | 693 |
| 3 | 147 | 189 | 231 |
| 49 | 63 | 77 |
Step 4 : Divide numbers by 7.
| 3 | 441 | 567 | 693 |
| 3 | 147 | 189 | 231 |
| 7 | 49 | 63 | 77 |
| 7 | 9 | 11 |
Step 5 : Number 7, 9 and 11, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot3\cdot7 = 63 $$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