The GCD of given numbers is 6.
Step 1 : Place the numbers inside division bar:.
750 | 900 | 6 |
Step 2 : Divide numbers by 2.
2 | 750 | 900 | 6 |
375 | 450 | 3 |
Step 3 : Divide numbers by 3.
2 | 750 | 900 | 6 |
3 | 375 | 450 | 3 |
125 | 150 | 1 |
Step 4 : Number 125, 150 and 1, 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.