Use the two-pass Euclidean algorithm method to find an inverse of 133 mod 244.

Algorithm, need step-by-step solution.

When using Euclid's algorithm to find the GCD of 820 and 730, what are the first three remainders you find? {put one in each answerbox in order as found).

Use the Euclidean algorithm to find the greatest common divisor of theFibonacci numbers u12 = 144 and u11 = 89.

(a) Use the Euclidean algorithm to find gcd(131,326). (b) Use the above to find a solution to 131x+326y=gcd(131,326) (c) Does 131 have an inverse modulo 326? If so, find a value in {0,1,2,3,…,325} that is an inverse. If not, explain why not?

Find the remainders at each of the four steps of the Euclidean algorithm in the process to find the GCD of 1053 and 80. What is the GCD Of 1053 and 80?

Illustrate the Euclidean algorithm by using it to compute gcd(40, 134) and find a solution to Bezout’s identity 40x + 134y = gcd(40, 134). Show your work.