11. Find the greatest common divisor of 68 and 21 using the Euclidean algorithm.
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- Use the euclidean algorithm to find the greatest common divisor of 2022 and 516The Euclidean Algorithm can be used to find the highest common divisor. Can you please explain with examples what the Extended Euclidean Algorithm is and how to use it.Computer Science Use the non-restoring division algorithm to compute the division of a dividend X = 14 = (1110) and a divisor D = 6 = (0110).
- Use the extended Euclidean algorithm to express gcd(144, 89) as a linear combination of 144 and 89.Use the extended Euclidean algorithm to express gcd(252, 356) as a linear combination of 252 and 356.You have to run Prim's algorithm for the problem defined by adjacency matrix: 1 2 3 4 5 6 7 8 9 1 0 10 9 999 999 17 999 999 999 2 3 69 10 0 14 4 2 999 999 13 999 14 0 7 999 999 999 999 999 4 999 4 7 0 999 2 8 999 999 5 999 2 999 999 0 6 999 1 999 6 17 999 999 2 6 0 999 7 999 7 999 999 999 8 999 999 0 11 4 8 999 13 999 999 1 7 11 9 999 999 999 999 999 999 4 80 8 0 1. We started from the vertex vl, so initially we have Y = {v1}: initial 1 2 3 4 5 6 7 8 9 nearest 1 1 1 1 1 1 1 1 1 distance -1 10 9 999 999 17 999 999 999 Print out the values stored in the nearest and distance arrays after first iteration of Prim's algorithm. Specify the value of vnear and the next vertex that has to be added to Y Hint: use (copy) the table above to record your answer.Implement the gratest common divisor algorithm
- Use the Extended Euclidean Algorithm find x and y such that gcd(798, 111) = 798x + 111yComputer Science Use the extended Euclidean Algorithm to compute the inverse of 5 mod 241.Please refer to this textbook: “Cormen et al., Introduction to Algorithms, 3rd Edition” And answer the following questions: Question:11