Question
Find Greatest Common Divisor of 2282 and 420, using repeated division.
Answer
The GCD of given numbers is 14.
Explanation
Step 1 : Place the numbers inside division bar:.
| 2282 | 420 |
Step 2 : Divide numbers by 2.
| 2 | 2282 | 420 |
| 1141 | 210 |
Step 3 : Divide numbers by 7.
| 2 | 2282 | 420 |
| 7 | 1141 | 210 |
| 163 | 30 |
Step 4 : Number 163 and 30, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
2282
420
2
7
163
2
3
5
The GCD equals the product of the numbers at the intersection.
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