Find Greatest Common Divisor of 73556 and 3444, using repeated division.
Answer
The GCD of given numbers is 28.
Explanation
Step 1 : Place the numbers inside division bar:.
| 73556 | 3444 |
Step 2 : Divide numbers by 2.
| 2 | 73556 | 3444 |
| 36778 | 1722 |
Step 3 : Divide numbers by 2.
| 2 | 73556 | 3444 |
| 2 | 36778 | 1722 |
| 18389 | 861 |
Step 4 : Divide numbers by 7.
| 2 | 73556 | 3444 |
| 2 | 36778 | 1722 |
| 7 | 18389 | 861 |
| 2627 | 123 |
Step 5 : Number 2627 and 123, 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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