Question
Find Greatest Common Divisor of 34 and 102, using repeated division.
Answer
The GCD of given numbers is 34.
Explanation
Step 1 : Place the numbers inside division bar:.
| 34 | 102 |
Step 2 : Divide numbers by 2.
| 2 | 34 | 102 |
| 17 | 51 |
Step 3 : Divide numbers by 17.
| 2 | 34 | 102 |
| 17 | 17 | 51 |
| 1 | 3 |
Step 4 : Number 1 and 3, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot17 = 34 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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