Find Greatest Common Divisor of 1020 and 1170, using repeated division.
Answer
The GCD of given numbers is 30.
Explanation
Step 1 : Place the numbers inside division bar:.
| 1020 | 1170 |
Step 2 : Divide numbers by 2.
| 2 | 1020 | 1170 |
| 510 | 585 |
Step 3 : Divide numbers by 3.
| 2 | 1020 | 1170 |
| 3 | 510 | 585 |
| 170 | 195 |
Step 4 : Divide numbers by 5.
| 2 | 1020 | 1170 |
| 3 | 510 | 585 |
| 5 | 170 | 195 |
| 34 | 39 |
Step 5 : Number 34 and 39, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot3\cdot5 = 30 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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