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Finding the monic gcd of 2 polynomials

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#abstract-algebra #polynomials #gcd-and-lcm #euclidean-algorithm
453
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How might the recurrence relation for the gcd function be solved?

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#number-theory #recurrence-relations #gcd-and-lcm #euclidean-algorithm
163
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Determine the rightmost three digits

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#number-theory #decimal-expansion #euclidean-algorithm
91
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$\gcd(8,16)$ with Euclidean algorithm

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#algebra-precalculus #gcd-and-lcm #euclidean-algorithm
192
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Find all numbers $n \in \Bbb Z$ such that $2n^2+3n-2$ and $n^2+1$ are coprime.

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#number-theory #elementary-number-theory #euclidean-algorithm
228
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HAPPY NEW YEAR $2020$ Remainder Problem

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#algebra-precalculus #elementary-number-theory #euclidean-algorithm
50
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How do you calculate a modulo between equations?

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#algebra-precalculus #euclidean-algorithm
175
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using extended euclidean algorithm to find s, t, r

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#gcd-and-lcm #cryptography #euclidean-algorithm
145
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$\gcd(135-14i, 155+34i)$ with the Euclidean algorithm

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#abstract-algebra #complex-numbers #gcd-and-lcm #euclidean-algorithm #gaussian-integers
1.7k
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Proving correctness of Euclid's GCD Algorithm through Induction

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#proof-writing #algorithms #induction #euclidean-algorithm
30
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Prove $s_{i-1}t_i-t_{i-1}s_i=(-1)^i$ in the extended Euclidean algorithm.

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#euclidean-algorithm
43
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Property of Euclidean algorithm

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#euclidean-algorithm
264
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Using Euclid's algorithm to solve $341x \equiv 15 \pmod{912}$

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#elementary-number-theory #modular-arithmetic #euclidean-algorithm
527
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Calculating Inverse modulo 101

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#abstract-algebra #modular-arithmetic #inverse #euclidean-algorithm
129
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Concerning $g=qf+r$, where $f,g \in k[x,y]$

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#polynomials #euclidean-algorithm #unique-factorization-domains

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