Question
Find Greatest Common Divisor of 100, 250 and 350, using repeated division.
Answer
The GCD of given numbers is 10.
Explanation
Step 1 : Place the numbers inside division bar:.
| 100 | 250 | 350 |
Step 2 : Divide numbers by 2.
| 2 | 100 | 250 | 350 |
| 50 | 125 | 175 |
Step 3 : Divide numbers by 5.
| 2 | 100 | 250 | 350 |
| 5 | 50 | 125 | 175 |
| 10 | 25 | 35 |
Step 4 : Number 10, 25 and 35, 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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