The GCD of given numbers is 24.
Step 1 : Place the numbers inside division bar:.
1320 | 1872 |
Step 2 : Divide numbers by 2.
2 | 1320 | 1872 |
660 | 936 |
Step 3 : Divide numbers by 2.
2 | 1320 | 1872 |
2 | 660 | 936 |
330 | 468 |
Step 4 : Divide numbers by 2.
2 | 1320 | 1872 |
2 | 660 | 936 |
2 | 330 | 468 |
165 | 234 |
Step 5 : Divide numbers by 3.
2 | 1320 | 1872 |
2 | 660 | 936 |
2 | 330 | 468 |
3 | 165 | 234 |
55 | 78 |
Step 6 : Number 55 and 78, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2\cdot2\cdot3 = 24 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.