Question
Find Greatest Common Divisor of 36, 63 and 108, using repeated division.
Answer
The GCD of given numbers is 9.
Explanation
Step 1 : Place the numbers inside division bar:.
| 36 | 63 | 108 |
Step 2 : Divide numbers by 3.
| 3 | 36 | 63 | 108 |
| 12 | 21 | 36 |
Step 3 : Divide numbers by 3.
| 3 | 36 | 63 | 108 |
| 3 | 12 | 21 | 36 |
| 4 | 7 | 12 |
Step 4 : Number 4, 7 and 12, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot3 = 9 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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