Question
Find Greatest Common Divisor of 28 and 14, using repeated division.
Answer
The GCD of given numbers is 14.
Explanation
Step 1 : Place the numbers inside division bar:.
| 28 | 14 |
Step 2 : Divide numbers by 2.
| 2 | 28 | 14 |
| 14 | 7 |
Step 3 : Divide numbers by 7.
| 2 | 28 | 14 |
| 7 | 14 | 7 |
| 2 | 1 |
Step 4 : Number 2 and 1, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot7 = 14 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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