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Prove that if $n$ is not a multiple of $3$ then $\gcd(F_n,L_n)=1$

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#discrete-mathematics #fibonacci-numbers #euclidean-algorithm #lucas-numbers
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Euclidean algorithm to find inverse modulo

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#modular-arithmetic #congruences #euclidean-algorithm
1k
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Using Euclidean Algorithm to find GCD of polynomials in $\mathbb{Q}[x]$

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#abstract-algebra #polynomials #ring-theory #gcd-and-lcm #euclidean-algorithm
90
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Let $k \in \mathbb{Z}^+$. Use the Euclidean Algorithm to compute $gcd(7k+14; 3k+6)$.

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#gcd-and-lcm #euclidean-algorithm
199
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Using the Euclidean algorithm in a field extension to find an inverse

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#polynomials #field-theory #galois-theory #extension-field #euclidean-algorithm
3.2k
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Congruence $4x \equiv 2 \pmod 6$

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#modular-arithmetic #euclidean-algorithm
512
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Multiplicative Inverses

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#polynomials #euclidean-algorithm
1.2k
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Highest common factor of two polynomials

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#euclidean-algorithm
112
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How to find the highest common factor of two complex numbers

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#euclidean-algorithm
44
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How do we apply the theorem?

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#elementary-number-theory #euclidean-algorithm
270
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Euclidean Algorithm and Quadratic Fields

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#number-theory #quadratics #gcd-and-lcm #euclidean-algorithm
259
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Euclidean division properties

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#elementary-number-theory #euclidean-algorithm
106
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Can we prove the converse of the division algorithm?

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#elementary-number-theory #divisibility #euclidean-algorithm
209
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Compute $gcd\left(1714, 1814\right)$ using Euclidean Algorithm

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#number-theory #discrete-mathematics #euclidean-algorithm
785
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How can I find the multiplicative inverse of $7 \pmod{15}$?

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#inverse #euclidean-algorithm

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