Find the gcd of 21-38i and 113-59¿ in two ways: first, by factorizing both numbers into Gaussian primes and, second, using the Euclidean algorithm. Show all work.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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a. Find the gcd of 21–38i and 113–59¿ in two ways: first, by factorizing both numbers
into Gaussian primes and, second, using the Euclidean algorithm. Show all work.
b. Using Gaussian integers, find all representations of the number 9945 as a sum of
two squares.
Transcribed Image Text:a. Find the gcd of 21–38i and 113–59¿ in two ways: first, by factorizing both numbers into Gaussian primes and, second, using the Euclidean algorithm. Show all work. b. Using Gaussian integers, find all representations of the number 9945 as a sum of two squares.
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