Question
Find Greatest Common Divisor of 12 and 70, using repeated division.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 : Place the numbers inside division bar:.
| 12 | 70 |
Step 2 : Divide numbers by 2.
| 2 | 12 | 70 |
| 6 | 35 |
Step 3 : Number 6 and 35, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
12
70
2
2
3
5
7
The GCD equals the product of the numbers at the intersection.
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