Question
Find Greatest Common Divisor of 345 and 234, using repeated division.
Answer
The GCD of given numbers is 3.
Explanation
Step 1 : Place the numbers inside division bar:.
| 345 | 234 |
Step 2 : Divide numbers by 3.
| 3 | 345 | 234 |
| 115 | 78 |
Step 3 : Number 115 and 78, cannot be divided any more. The GCD is:
$$ GCD = 3 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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