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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
82
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Find polynomials $m,n \in \mathbb{F}_5[X]$ such that $mf + ng = h$.

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#linear-algebra #polynomials #gcd-and-lcm
80
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Doubts in elementary number theory

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#elementary-number-theory #gcd-and-lcm
478
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Polynomial division modulo 5, gcd of two polynomials

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#polynomials #ring-theory #gcd-and-lcm
244
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Struggling to see how the $\operatorname{gcd}(f,g)=1$

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#abstract-algebra #gcd-and-lcm
170
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Little confusion about the greatest common divisor

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#abstract-algebra #gcd-and-lcm
54
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Construct a sum of N trigonometric functions to reach a given global period

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#trigonometry #gcd-and-lcm
114
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Let $a,b ∈N$ with $\gcd(a,b) = 1$. Find the number of ordered pairs $(a,b)$ such that: $\frac {a}{ b} + \frac {201b}{10201a} ∈ N$.

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#elementary-number-theory #contest-math #gcd-and-lcm
113
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Is gcd(a, b+c) equal to gcd(gcd(a, b), gcd(a, c))

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#number-theory #elementary-number-theory #divisibility #gcd-and-lcm
195
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this came in my exam and i could not answer it . any help is appreciated.

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#gcd-and-lcm
87
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Proof $\gcd(b,c)=1$ and $a \mid b \implies \gcd(a,c)=1$

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#number-theory #gcd-and-lcm
123
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Finding gcd of two unknowns included in this linear diophantine equation

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#number-theory #diophantine-equations #gcd-and-lcm
35
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Common elements in finite LCM closed sets.

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#number-theory #graph-theory #prime-numbers #gcd-and-lcm #prime-factorization
499
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Cancellation law of congruence and gcd.

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#modular-arithmetic #gcd-and-lcm
85
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Regarding a question in elementary number theory

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#number-theory #elementary-number-theory #prime-numbers #divisibility #gcd-and-lcm

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