Question
Find Greatest Common Divisor of 693 and 1078, using repeated division.
Answer
The GCD of given numbers is 7.
Explanation
Step 1 : Place the numbers inside division bar:.
| 693 | 1078 |
Step 2 : Divide numbers by 7.
| 7 | 693 | 1078 |
| 99 | 154 |
Step 3 : Number 99 and 154, cannot be divided any more. The GCD is:
$$ GCD = 7 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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