Question
Find Greatest Common Divisor of 25, 45 and 55, using repeated division.
Answer
The GCD of given numbers is 5.
Explanation
Step 1 : Place the numbers inside division bar:.
| 25 | 45 | 55 |
Step 2 : Divide numbers by 5.
| 5 | 25 | 45 | 55 |
| 5 | 9 | 11 |
Step 3 : Number 5, 9 and 11, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
25
45
55
5
5
3
3
11
The GCD equals the product of the numbers at the intersection.
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