Question
Find Greatest Common Divisor of 819 and 72, using repeated division.
Answer
The GCD of given numbers is 9.
Explanation
Step 1 : Place the numbers inside division bar:.
| 819 | 72 |
Step 2 : Divide numbers by 3.
| 3 | 819 | 72 |
| 273 | 24 |
Step 3 : Divide numbers by 3.
| 3 | 819 | 72 |
| 3 | 273 | 24 |
| 91 | 8 |
Step 4 : Number 91 and 8, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
819
72
3
3
7
13
2
2
2
The GCD equals the product of the numbers at the intersection.
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