Question
Find Greatest Common Divisor of 60800 and 60200, using repeated division.
Answer
The GCD of given numbers is 200.
Explanation
Step 1 : Place the numbers inside division bar:.
| 60800 | 60200 |
Step 2 : Divide numbers by 2.
| 2 | 60800 | 60200 |
| 30400 | 30100 |
Step 3 : Divide numbers by 2.
| 2 | 60800 | 60200 |
| 2 | 30400 | 30100 |
| 15200 | 15050 |
Step 4 : Divide numbers by 2.
| 2 | 60800 | 60200 |
| 2 | 30400 | 30100 |
| 2 | 15200 | 15050 |
| 7600 | 7525 |
Step 5 : Divide numbers by 5.
| 2 | 60800 | 60200 |
| 2 | 30400 | 30100 |
| 2 | 15200 | 15050 |
| 5 | 7600 | 7525 |
| 1520 | 1505 |
Step 6 : Divide numbers by 5.
| 2 | 60800 | 60200 |
| 2 | 30400 | 30100 |
| 2 | 15200 | 15050 |
| 5 | 7600 | 7525 |
| 5 | 1520 | 1505 |
| 304 | 301 |
Step 7 : Number 304 and 301, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot2\cdot5\cdot5 = 200 $$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