Find Greatest Common Divisor of 78 and 66, using repeated division.
Answer
The GCD of given numbers is 6.
Explanation
Step 1 : Place the numbers inside division bar:.
| 78 | 66 |
Step 2 : Divide numbers by 2.
| 2 | 78 | 66 |
| 39 | 33 |
Step 3 : Divide numbers by 3.
| 2 | 78 | 66 |
| 3 | 39 | 33 |
| 13 | 11 |
Step 4 : Number 13 and 11, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot3 = 6 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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