Question
Find Greatest Common Divisor of 100 and 12, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 100 | 12 |
Step 2 : Divide numbers by 2.
| 2 | 100 | 12 |
| 50 | 6 |
Step 3 : Divide numbers by 2.
| 2 | 100 | 12 |
| 2 | 50 | 6 |
| 25 | 3 |
Step 4 : Number 25 and 3, 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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