The GCD of given numbers is 10.
Step 1 : Place the numbers inside division bar:.
70 | 120 |
Step 2 : Divide numbers by 2.
2 | 70 | 120 |
35 | 60 |
Step 3 : Divide numbers by 5.
2 | 70 | 120 |
5 | 35 | 60 |
7 | 12 |
Step 4 : Number 7 and 12, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot5 = 10 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.