Question
Find Greatest Common Divisor of 6 and 36, using repeated division.
Answer
The GCD of given numbers is 6.
Explanation
Step 1 : Place the numbers inside division bar:.
| 6 | 36 |
Step 2 : Divide numbers by 2.
| 2 | 6 | 36 |
| 3 | 18 |
Step 3 : Divide numbers by 3.
| 2 | 6 | 36 |
| 3 | 3 | 18 |
| 1 | 6 |
Step 4 : Number 1 and 6, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
6
36
2
3
2
3
The GCD equals the product of the numbers at the intersection.
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