Question
Find Greatest Common Divisor of 125 and 200, using repeated division.
Answer
The GCD of given numbers is 25.
Explanation
Step 1 : Place the numbers inside division bar:.
| 125 | 200 |
Step 2 : Divide numbers by 5.
| 5 | 125 | 200 |
| 25 | 40 |
Step 3 : Divide numbers by 5.
| 5 | 125 | 200 |
| 5 | 25 | 40 |
| 5 | 8 |
Step 4 : Number 5 and 8, cannot be divided any more. The GCD is:
$$ GCD = 5\cdot5 = 25 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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