Question
Find Greatest Common Divisor of 175, 225 and 350, using repeated division.
Answer
The GCD of given numbers is 25.
Explanation
Step 1 : Place the numbers inside division bar:.
| 175 | 225 | 350 |
Step 2 : Divide numbers by 5.
| 5 | 175 | 225 | 350 |
| 35 | 45 | 70 |
Step 3 : Divide numbers by 5.
| 5 | 175 | 225 | 350 |
| 5 | 35 | 45 | 70 |
| 7 | 9 | 14 |
Step 4 : Number 7, 9 and 14, 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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