Question
Find Greatest Common Divisor of 110, 180 and 540, using repeated division.
Answer
The GCD of given numbers is 10.
Explanation
Step 1 : Place the numbers inside division bar:.
| 110 | 180 | 540 |
Step 2 : Divide numbers by 2.
| 2 | 110 | 180 | 540 |
| 55 | 90 | 270 |
Step 3 : Divide numbers by 5.
| 2 | 110 | 180 | 540 |
| 5 | 55 | 90 | 270 |
| 11 | 18 | 54 |
Step 4 : Number 11, 18 and 54, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot5 = 10 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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