Question
Find Greatest Common Divisor of 1013, 11143 and 112443, using repeated division.
Answer
The GCD of given numbers is 1013.
Explanation
Step 1 : Place the numbers inside division bar:.
| 1013 | 11143 | 112443 |
Step 2 : Divide numbers by 1013.
| 1013 | 1013 | 11143 | 112443 |
| 1 | 11 | 111 |
Step 3 : Number 1, 11 and 111, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
1013
11143
112443
1013
11
3
37
The GCD equals the product of the numbers at the intersection.
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