Question
Find Greatest Common Divisor of 586 and 682, using repeated division.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 : Place the numbers inside division bar:.
| 586 | 682 |
Step 2 : Divide numbers by 2.
| 2 | 586 | 682 |
| 293 | 341 |
Step 3 : Number 293 and 341, cannot be divided any more. The GCD is:
$$ GCD = 2 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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