Question

Using the extended Euclidean algorithm, compute the greatest common divisor of 1819 and 3587.

Answer #1

Using the Euclidean Algorithm, find the Greatest Common Divisor
and Bezout Coefficients of the following pair of integers: (2002,
2339)

Compute gcd(425, 2020) using extended euclidean algorithm

Find the greatest common factor applying Euclidean Algorithm:
29448, 59220

Calculate 39^-1mod 911 using extended euclidean algorithm

Using the extended Euclidean algorithm, find the multiplicative
inverse of a. 135 mod 61 b. 7465 mod 2464 c. 42828 mod 6407

use the Extended Euclidean algorithm (EEA) to write the gcd of
4883 and 4369 as their linear combination

Use extended Euclidean algorithm to find x and y such that 20x +
50y = 510.

By hand, use the Extended Euclidean algorithm (EEA) to write
the gcd of 4883 and 4369 as their combination.

Write a Mathematica procedure implementing the Extended
Euclidean Algorithm. Show that this works by displaying various
applications of your procedure with explicit numbers.

16. Compute greatest common divisor of ?5 − 1 and ?3 + 2? − 3 in
modulus 13.
17. Check whether the polynomial is ?5 − 4?3 + 3?2 − ? + 2 is
reducible or irreducible in modulus 3, 5 and 13

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