Question
Find Greatest Common Divisor of 45, 80 and 90, using repeated division.
Answer
The GCD of given numbers is 5.
Explanation
Step 1 : Place the numbers inside division bar:.
| 45 | 80 | 90 |
Step 2 : Divide numbers by 5.
| 5 | 45 | 80 | 90 |
| 9 | 16 | 18 |
Step 3 : Number 9, 16 and 18, cannot be divided any more. The GCD is:
$$ GCD = 5 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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