Question
Find Greatest Common Divisor of 140, 168 and 210, using repeated division.
Answer
The GCD of given numbers is 14.
Explanation
Step 1 : Place the numbers inside division bar:.
| 140 | 168 | 210 |
Step 2 : Divide numbers by 2.
| 2 | 140 | 168 | 210 |
| 70 | 84 | 105 |
Step 3 : Divide numbers by 7.
| 2 | 140 | 168 | 210 |
| 7 | 70 | 84 | 105 |
| 10 | 12 | 15 |
Step 4 : Number 10, 12 and 15, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot7 = 14 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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