Question
Find Greatest Common Divisor of 22 and 46, using repeated division.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 : Place the numbers inside division bar:.
| 22 | 46 |
Step 2 : Divide numbers by 2.
| 2 | 22 | 46 |
| 11 | 23 |
Step 3 : Number 11 and 23, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
22
46
2
11
23
The GCD equals the product of the numbers at the intersection.
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