Question
Find Greatest Common Divisor of 98 and 96, using Euclidean algorithm.
Answer
The GCD of given numbers is 2.
Explanation
Step 1 :
Divide by and get the remainder
The remainder is positive (), so we will continue with division.
Step 2 :
Divide by and get the remainder
The remainder is zero => GCD is the last divisor .
We can summarize an algorithm into a following table.
| 98 | : | 96 | = | 1 | remainder ( 2 ) | ||
| 96 | : | 2 | = | 48 | remainder ( 0 ) | ||
| GCD = 2 | |||||||
This solution can be visualized using a Venn diagram.
0,0
98
96
2
7
7
2
2
2
2
3
The GCD equals the product of the numbers at the intersection.
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