Question
Find Greatest Common Divisor of 143 and 187, using repeated division.
Answer
The GCD of given numbers is 11.
Explanation
Step 1 : Place the numbers inside division bar:.
| 143 | 187 |
Step 2 : Divide numbers by 11.
| 11 | 143 | 187 |
| 13 | 17 |
Step 3 : Number 13 and 17, cannot be divided any more. The GCD is:
$$ GCD = 11 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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