Question
Find Greatest Common Divisor of 710 and 310, using repeated division.
Answer
The GCD of given numbers is 10.
Explanation
Step 1 : Place the numbers inside division bar:.
| 710 | 310 |
Step 2 : Divide numbers by 2.
| 2 | 710 | 310 |
| 355 | 155 |
Step 3 : Divide numbers by 5.
| 2 | 710 | 310 |
| 5 | 355 | 155 |
| 71 | 31 |
Step 4 : Number 71 and 31, 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.
This page was created using
GCD Calculator