Find Greatest Common Divisor of 663 and 39, using repeated division.
Answer
The GCD of given numbers is 39.
Explanation
Step 1 : Place the numbers inside division bar:.
| 663 | 39 |
Step 2 : Divide numbers by 3.
| 3 | 663 | 39 |
| 221 | 13 |
Step 3 : Divide numbers by 13.
| 3 | 663 | 39 |
| 13 | 221 | 13 |
| 17 | 1 |
Step 4 : Number 17 and 1, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot13 = 39 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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