Question
Find Greatest Common Divisor of 2772 and 1912, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 2772 | 1912 |
Step 2 : Divide numbers by 2.
| 2 | 2772 | 1912 |
| 1386 | 956 |
Step 3 : Divide numbers by 2.
| 2 | 2772 | 1912 |
| 2 | 1386 | 956 |
| 693 | 478 |
Step 4 : Number 693 and 478, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2 = 4 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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