Question
Find Greatest Common Divisor of 147 and 630, using repeated division.
Answer
The GCD of given numbers is 21.
Explanation
Step 1 : Place the numbers inside division bar:.
| 147 | 630 |
Step 2 : Divide numbers by 3.
| 3 | 147 | 630 |
| 49 | 210 |
Step 3 : Divide numbers by 7.
| 3 | 147 | 630 |
| 7 | 49 | 210 |
| 7 | 30 |
Step 4 : Number 7 and 30, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
147
630
3
7
7
2
3
5
The GCD equals the product of the numbers at the intersection.
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