Question
Find Greatest Common Divisor of 4900 and 602, using repeated division.
Answer
The GCD of given numbers is 14.
Explanation
Step 1 : Place the numbers inside division bar:.
| 4900 | 602 |
Step 2 : Divide numbers by 2.
| 2 | 4900 | 602 |
| 2450 | 301 |
Step 3 : Divide numbers by 7.
| 2 | 4900 | 602 |
| 7 | 2450 | 301 |
| 350 | 43 |
Step 4 : Number 350 and 43, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot7 = 14 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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