Question
Find Greatest Common Divisor of 429 and 468, using repeated division.
Answer
The GCD of given numbers is 3.
Explanation
Step 1 : Place the numbers inside division bar:.
| 429 | 468 |
Step 2 : Divide numbers by 3.
| 3 | 429 | 468 |
| 143 | 156 |
Step 3 : Number 143 and 156, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
429
468
3
13
11
2
2
3
The GCD equals the product of the numbers at the intersection.
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