Find Greatest Common Divisor of 6699 and 8265, using repeated division.
Answer
The GCD of given numbers is 87.
Explanation
Step 1 : Place the numbers inside division bar:.
| 6699 | 8265 |
Step 2 : Divide numbers by 3.
| 3 | 6699 | 8265 |
| 2233 | 2755 |
Step 3 : Divide numbers by 29.
| 3 | 6699 | 8265 |
| 29 | 2233 | 2755 |
| 77 | 95 |
Step 4 : Number 77 and 95, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot29 = 87 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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