Question
Find Greatest Common Divisor of 527 and 646, using repeated division.
Answer
The GCD of given numbers is 17.
Explanation
Step 1 : Place the numbers inside division bar:.
| 527 | 646 |
Step 2 : Divide numbers by 17.
| 17 | 527 | 646 |
| 31 | 38 |
Step 3 : Number 31 and 38, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
527
646
17
31
2
19
The GCD equals the product of the numbers at the intersection.
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