Question
Find Greatest Common Divisor of 15 and 75, using Euclidean algorithm.
Answer
The GCD of given numbers is 15.
Explanation
Step 1 :
Divide by and get the remainder
The remainder is zero => GCD is the last divisor .
We can summarize an algorithm into a following table.
| 75 | : | 15 | = | 5 | remainder ( 0 ) |
| GCD = 15 | |||||
This solution can be visualized using a Venn diagram.
0,0
15
75
3
5
5
The GCD equals the product of the numbers at the intersection.
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