Question
Find Greatest Common Divisor of 378 and 140, using repeated division.
Answer
The GCD of given numbers is 14.
Explanation
Step 1 : Place the numbers inside division bar:.
| 378 | 140 |
Step 2 : Divide numbers by 2.
| 2 | 378 | 140 |
| 189 | 70 |
Step 3 : Divide numbers by 7.
| 2 | 378 | 140 |
| 7 | 189 | 70 |
| 27 | 10 |
Step 4 : Number 27 and 10, cannot be divided any more. The GCD is:
This solution can be visualized using a Venn diagram.
0,0
378
140
2
7
3
3
3
2
5
The GCD equals the product of the numbers at the intersection.
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