The GCD of given numbers is 2040.
Step 1 : Place the numbers inside division bar:.
6120 | 2040 |
Step 2 : Divide numbers by 2.
2 | 6120 | 2040 |
3060 | 1020 |
Step 3 : Divide numbers by 2.
2 | 6120 | 2040 |
2 | 3060 | 1020 |
1530 | 510 |
Step 4 : Divide numbers by 2.
2 | 6120 | 2040 |
2 | 3060 | 1020 |
2 | 1530 | 510 |
765 | 255 |
Step 5 : Divide numbers by 3.
2 | 6120 | 2040 |
2 | 3060 | 1020 |
2 | 1530 | 510 |
3 | 765 | 255 |
255 | 85 |
Step 6 : Divide numbers by 5.
2 | 6120 | 2040 |
2 | 3060 | 1020 |
2 | 1530 | 510 |
3 | 765 | 255 |
5 | 255 | 85 |
51 | 17 |
Step 7 : Divide numbers by 17.
2 | 6120 | 2040 |
2 | 3060 | 1020 |
2 | 1530 | 510 |
3 | 765 | 255 |
5 | 255 | 85 |
17 | 51 | 17 |
3 | 1 |
Step 8 : Number 3 and 1, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot2\cdot3\cdot5\cdot17 = 2040 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.