Question
Find Greatest Common Divisor of 123 and 315, using repeated division.
Answer
The GCD of given numbers is 3.
Explanation
Step 1 : Place the numbers inside division bar:.
| 123 | 315 |
Step 2 : Divide numbers by 3.
| 3 | 123 | 315 |
| 41 | 105 |
Step 3 : Number 41 and 105, cannot be divided any more. The GCD is:
$$ GCD = 3 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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