The GCD of given numbers is 342.
Step 1 : Place the numbers inside division bar:.
2394 | 342 |
Step 2 : Divide numbers by 2.
2 | 2394 | 342 |
1197 | 171 |
Step 3 : Divide numbers by 3.
2 | 2394 | 342 |
3 | 1197 | 171 |
399 | 57 |
Step 4 : Divide numbers by 3.
2 | 2394 | 342 |
3 | 1197 | 171 |
3 | 399 | 57 |
133 | 19 |
Step 5 : Divide numbers by 19.
2 | 2394 | 342 |
3 | 1197 | 171 |
3 | 399 | 57 |
19 | 133 | 19 |
7 | 1 |
Step 6 : Number 7 and 1, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot3\cdot3\cdot19 = 342 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.