Question
Find Greatest Common Divisor of 10254 and 789, using repeated division.
Answer
The GCD of given numbers is 3.
Explanation
Step 1 : Place the numbers inside division bar:.
| 10254 | 789 |
Step 2 : Divide numbers by 3.
| 3 | 10254 | 789 |
| 3418 | 263 |
Step 3 : Number 3418 and 263, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
10254
789
3
2
1709
263
The GCD equals the product of the numbers at the intersection.
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