Question
Find Greatest Common Divisor of 115, 230 and 345, using repeated division.
Answer
The GCD of given numbers is 115.
Explanation
Step 1 : Place the numbers inside division bar:.
| 115 | 230 | 345 |
Step 2 : Divide numbers by 5.
| 5 | 115 | 230 | 345 |
| 23 | 46 | 69 |
Step 3 : Divide numbers by 23.
| 5 | 115 | 230 | 345 |
| 23 | 23 | 46 | 69 |
| 1 | 2 | 3 |
Step 4 : Number 1, 2 and 3, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
115
230
345
5
23
2
3
The GCD equals the product of the numbers at the intersection.
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