Question
Find Greatest Common Divisor of 159 and 53, using repeated division.
Answer
The GCD of given numbers is 53.
Explanation
Step 1 : Place the numbers inside division bar:.
| 159 | 53 |
Step 2 : Divide numbers by 53.
| 53 | 159 | 53 |
| 3 | 1 |
Step 3 : Number 3 and 1, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
159
53
53
3
The GCD equals the product of the numbers at the intersection.
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