Question
Find Greatest Common Divisor of 294 and 441, using repeated division.
Answer
The GCD of given numbers is 21.
Explanation
Step 1 : Place the numbers inside division bar:.
| 294 | 441 |
Step 2 : Divide numbers by 3.
| 3 | 294 | 441 |
| 98 | 147 |
Step 3 : Divide numbers by 7.
| 3 | 294 | 441 |
| 7 | 98 | 147 |
| 14 | 21 |
Step 4 : Number 14 and 21, cannot be divided any more. The GCD is:
$$ GCD = 3\cdot7 = 21 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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