Question
Find Greatest Common Divisor of 21 and 7, using repeated division.
Answer
The GCD of given numbers is 7.
Explanation
Step 1 : Place the numbers inside division bar:.
| 21 | 7 |
Step 2 : Divide numbers by 7.
| 7 | 21 | 7 |
| 3 | 1 |
Step 3 : Number 3 and 1, 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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