(a) Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and express it as the following linear combination of the two numbers. 4,883s + 1,843t, where (b) Show the calculations that led to your answer to part (a) in a free response. Include both the steps of the Euclidean algorithm and the backward substitutions that produced the values of s and t. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. Need Help? Read It

(a) Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and express it as the following linear combination of the two numbers. 4,883s + 1,843t, where (b) Show the calculations that led to your answer to part (a) in a free response. Include both the steps of the Euclidean algorithm and the backward substitutions that produced the values of s and t. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. Need Help? Read It

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

**Extended Euclidean Algorithm Exercise**

**(a)** Use the extended Euclidean algorithm to find the greatest common divisor (GCD) of the given numbers and express it as the following linear combination of the two numbers:

\[ 4,883s + 1,843t \]

where

$ s = \_\_\_\_\_\_ $

$ t = \_\_\_\_\_\_ $

**(b)** Show the calculations that led to your answer to part (a) in a free response. Include both the steps of the Euclidean algorithm and the backward substitutions that produced the values of $ s $ and $ t $. (Submit a file with a maximum size of 1 MB.)

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