Question
Find Greatest Common Divisor of 429 and 299, using repeated division.
Answer
The GCD of given numbers is 13.
Explanation
Step 1 : Place the numbers inside division bar:.
| 429 | 299 |
Step 2 : Divide numbers by 13.
| 13 | 429 | 299 |
| 33 | 23 |
Step 3 : Number 33 and 23, cannot be divided any more. The GCD is:
$$ GCD = 13 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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