Question
Find Greatest Common Divisor of 24 and 76, using repeated division.
Answer
The GCD of given numbers is 4.
Explanation
Step 1 : Place the numbers inside division bar:.
| 24 | 76 |
Step 2 : Divide numbers by 2.
| 2 | 24 | 76 |
| 12 | 38 |
Step 3 : Divide numbers by 2.
| 2 | 24 | 76 |
| 2 | 12 | 38 |
| 6 | 19 |
Step 4 : Number 6 and 19, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
24
76
2
2
2
3
19
The GCD equals the product of the numbers at the intersection.
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