Question

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

Answer #1

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

a) Use the Euclidean Algorithm to find gcd(503, 302301).
(b) Write gcd(503, 302301) as a linear combination of 38 and
49.
(c) What is an inverse of 503 modulo 302301?
(d) Solve 503x ≡ 2 (mod 302301)

Compute gcd(425, 2020) using extended euclidean algorithm

Use Euclid’s GCD algorithm to compute gcd(356250895, 802137245)
and express the GCD as an integer linear combination of the two
numbers.

Let x =21212121; y = 12121212: Use the Euclidean algorithm to
find the GCD of x and y. Show all steps.

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

Calculate 39^-1mod 911 using extended euclidean algorithm

By the Euclidean
algorithm to find gcd(279174, 399399) and gcd(144, 233). Again you
will want a calculator for the divisions, but show your work. How
many steps (applications of the theorem) does each calculation
require?

Use the Euclidean algorithm to find GCD(221, 85). Draw the Hasse
diagram displaying all divisibilities among the numbers 1, 85, 221,
GCD(85, 221), LCM(85, 221), and 85 × 221.
- Now I already found the gcd and the lcm but I forgot how to
draw the hasse diagram
GCD = 17 and LCM =1105

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

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