The GCD of given numbers is 6.
Step 1 : Place the numbers inside division bar:.
42 | 432 | 240 |
Step 2 : Divide numbers by 2.
2 | 42 | 432 | 240 |
21 | 216 | 120 |
Step 3 : Divide numbers by 3.
2 | 42 | 432 | 240 |
3 | 21 | 216 | 120 |
7 | 72 | 40 |
Step 4 : Number 7, 72 and 40, 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.