Question
Find Greatest Common Divisor of 980 and 1876, using repeated division.
Answer
The GCD of given numbers is 28.
Explanation
Step 1 : Place the numbers inside division bar:.
| 980 | 1876 |
Step 2 : Divide numbers by 2.
| 2 | 980 | 1876 |
| 490 | 938 |
Step 3 : Divide numbers by 2.
| 2 | 980 | 1876 |
| 2 | 490 | 938 |
| 245 | 469 |
Step 4 : Divide numbers by 7.
| 2 | 980 | 1876 |
| 2 | 490 | 938 |
| 7 | 245 | 469 |
| 35 | 67 |
Step 5 : Number 35 and 67, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot7 = 28 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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