Question
Find Greatest Common Divisor of 36, 54, 90 and 126, using repeated division.
Answer
The GCD of given numbers is 18.
Explanation
Step 1 : Place the numbers inside division bar:.
| 36 | 54 | 90 | 126 |
Step 2 : Divide numbers by 2.
| 2 | 36 | 54 | 90 | 126 |
| 18 | 27 | 45 | 63 |
Step 3 : Divide numbers by 3.
| 2 | 36 | 54 | 90 | 126 |
| 3 | 18 | 27 | 45 | 63 |
| 6 | 9 | 15 | 21 |
Step 4 : Divide numbers by 3.
| 2 | 36 | 54 | 90 | 126 |
| 3 | 18 | 27 | 45 | 63 |
| 3 | 6 | 9 | 15 | 21 |
| 2 | 3 | 5 | 7 |
Step 5 : Number 2, 3, 5 and 7, cannot be divided any more. The GCD is:
$$ GCD = 2\cdot3\cdot3 = 18 $$This page was created using
GCD Calculator