Question
Find Greatest Common Divisor of 12075 and 4655, using repeated division.
Answer
The GCD of given numbers is 35.
Explanation
Step 1 : Place the numbers inside division bar:.
| 12075 | 4655 |
Step 2 : Divide numbers by 5.
| 5 | 12075 | 4655 |
| 2415 | 931 |
Step 3 : Divide numbers by 7.
| 5 | 12075 | 4655 |
| 7 | 2415 | 931 |
| 345 | 133 |
Step 4 : Number 345 and 133, cannot be divided any more. The GCD is:
$$ GCD = 5\cdot7 = 35 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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