Question
Find Greatest Common Divisor of 125 and 100, using repeated division.
Answer
The GCD of given numbers is 25.
Explanation
Step 1 : Place the numbers inside division bar:.
| 125 | 100 |
Step 2 : Divide numbers by 5.
| 5 | 125 | 100 |
| 25 | 20 |
Step 3 : Divide numbers by 5.
| 5 | 125 | 100 |
| 5 | 25 | 20 |
| 5 | 4 |
Step 4 : Number 5 and 4, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
125
100
5
5
5
2
2
The GCD equals the product of the numbers at the intersection.
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