Find Greatest Common Divisor of 728, 1196 and 2132, using repeated division.
Answer
The GCD of given numbers is 52.
Explanation
Step 1 : Place the numbers inside division bar:.
| 728 | 1196 | 2132 |
Step 2 : Divide numbers by 2.
| 2 | 728 | 1196 | 2132 |
| 364 | 598 | 1066 |
Step 3 : Divide numbers by 2.
| 2 | 728 | 1196 | 2132 |
| 2 | 364 | 598 | 1066 |
| 182 | 299 | 533 |
Step 4 : Divide numbers by 13.
| 2 | 728 | 1196 | 2132 |
| 2 | 364 | 598 | 1066 |
| 13 | 182 | 299 | 533 |
| 14 | 23 | 41 |
Step 5 : Number 14, 23 and 41, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot13 = 52 $$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