Question
Find Greatest Common Divisor of 352 and 528, using repeated division.
Answer
The GCD of given numbers is 16.
Explanation
Step 1 : Place the numbers inside division bar:.
| 352 | 528 |
Step 2 : Divide numbers by 2.
| 2 | 352 | 528 |
| 176 | 264 |
Step 3 : Divide numbers by 2.
| 2 | 352 | 528 |
| 2 | 176 | 264 |
| 88 | 132 |
Step 4 : Divide numbers by 2.
| 2 | 352 | 528 |
| 2 | 176 | 264 |
| 2 | 88 | 132 |
| 44 | 66 |
Step 5 : Divide numbers by 2.
| 2 | 352 | 528 |
| 2 | 176 | 264 |
| 2 | 88 | 132 |
| 2 | 44 | 66 |
| 22 | 33 |
Step 6 : Number 22 and 33, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot2\cdot2 = 16 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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