Question
Find Greatest Common Divisor of 105, 140 and 320, using repeated division.
Answer
The GCD of given numbers is 5.
Explanation
Step 1 : Place the numbers inside division bar:.
| 105 | 140 | 320 |
Step 2 : Divide numbers by 5.
| 5 | 105 | 140 | 320 |
| 21 | 28 | 64 |
Step 3 : Number 21, 28 and 64, 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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