Question
Find Greatest Common Divisor of 4655 and 12075, using repeated division.
Answer
The GCD of given numbers is 35.
Explanation
Step 1 : Place the numbers inside division bar:.
| 4655 | 12075 |
Step 2 : Divide numbers by 5.
| 5 | 4655 | 12075 |
| 931 | 2415 |
Step 3 : Divide numbers by 7.
| 5 | 4655 | 12075 |
| 7 | 931 | 2415 |
| 133 | 345 |
Step 4 : Number 133 and 345, 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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