Question
Find Greatest Common Divisor of 72 and 52, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 72 | 52 |
Step 2 : Divide numbers by 2.
| 2 | 72 | 52 |
| 36 | 26 |
Step 3 : Divide numbers by 2.
| 2 | 72 | 52 |
| 2 | 36 | 26 |
| 18 | 13 |
Step 4 : Number 18 and 13, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
72
52
2
2
2
3
3
13
The GCD equals the product of the numbers at the intersection.
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