Question
Find Greatest Common Divisor of 1625 and 975, using repeated division.
Answer
The GCD of given numbers is 25.
Explanation
Step 1 : Place the numbers inside division bar:.
| 1625 | 975 |
Step 2 : Divide numbers by 5.
| 5 | 1625 | 975 |
| 325 | 195 |
Step 3 : Divide numbers by 5.
| 5 | 1625 | 975 |
| 5 | 325 | 195 |
| 65 | 39 |
Step 4 : Number 65 and 39, cannot be divided any more. The GCD is:
$$ GCD = 5\cdot5 = 25 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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