Question
Find Greatest Common Divisor of 299 and 299, using repeated division.
Answer
The GCD of given numbers is 299.
Explanation
Step 1 : Place the numbers inside division bar:.
| 299 | 299 |
Step 2 : Divide numbers by 13.
| 13 | 299 | 299 |
| 23 | 23 |
Step 3 : Divide numbers by 23.
| 13 | 299 | 299 |
| 23 | 23 | 23 |
| 1 | 1 |
Step 4 : Number 1 and 1, cannot be divided any more. The GCD is:
$$ GCD = 13\cdot23 = 299 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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