Question
Find Greatest Common Divisor of 85 and 7225, using repeated division.
Answer
The GCD of given numbers is 85.
Explanation
Step 1 : Place the numbers inside division bar:.
| 85 | 7225 |
Step 2 : Divide numbers by 5.
| 5 | 85 | 7225 |
| 17 | 1445 |
Step 3 : Divide numbers by 17.
| 5 | 85 | 7225 |
| 17 | 17 | 1445 |
| 1 | 85 |
Step 4 : Number 1 and 85, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
85
7225
5
17
5
17
The GCD equals the product of the numbers at the intersection.
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