Find Greatest Common Divisor of 928 and 1220, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 928 | 1220 |
Step 2 : Divide numbers by 2.
| 2 | 928 | 1220 |
| 464 | 610 |
Step 3 : Divide numbers by 2.
| 2 | 928 | 1220 |
| 2 | 464 | 610 |
| 232 | 305 |
Step 4 : Number 232 and 305, 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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