Find Greatest Common Divisor of 8, 12 and 24, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 8 | 12 | 24 |
Step 2 : Divide numbers by 2.
| 2 | 8 | 12 | 24 |
| 4 | 6 | 12 |
Step 3 : Divide numbers by 2.
| 2 | 8 | 12 | 24 |
| 2 | 4 | 6 | 12 |
| 2 | 3 | 6 |
Step 4 : Number 2, 3 and 6, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot2 = 4 $$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