Question
Find Greatest Common Divisor of 2048 and 100124, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 2048 | 100124 |
Step 2 : Divide numbers by 2.
| 2 | 2048 | 100124 |
| 1024 | 50062 |
Step 3 : Divide numbers by 2.
| 2 | 2048 | 100124 |
| 2 | 1024 | 50062 |
| 512 | 25031 |
Step 4 : Number 512 and 25031, 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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