Question
Find Greatest Common Divisor of 49, 91 and 70, using repeated division.
Answer
The GCD of given numbers is 7.
Explanation
Step 1 : Place the numbers inside division bar:.
| 49 | 91 | 70 |
Step 2 : Divide numbers by 7.
| 7 | 49 | 91 | 70 |
| 7 | 13 | 10 |
Step 3 : Number 7, 13 and 10, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
49
91
70
7
7
13
2
5
The GCD equals the product of the numbers at the intersection.
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