The GCD of given numbers is 35.
Step 1 : Place the numbers inside division bar:.
4655 | 12075 |
Step 2 : Divide numbers by 5.
5 | 4655 | 12075 |
931 | 2415 |
Step 3 : Divide numbers by 7.
5 | 4655 | 12075 |
7 | 931 | 2415 |
133 | 345 |
Step 4 : Number 133 and 345, cannot be divided any more. The GCD is:
$$ GCD = 5\cdot7 = 35 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.