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Proof if $\gcd (a, b) = 1$ then there exists $m$ and $n$ such that $am+bn=1$

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#abstract-algebra #algebra-precalculus #gcd-and-lcm
465
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Find possibilities for order of an element in a group

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#group-theory #finite-groups #gcd-and-lcm
320
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How to find an integer pair x and y after performing Eucilid algorithm?

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#gcd-and-lcm #euclidean-algorithm
388
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If gcd of two positive integers is 2 then both integers are even

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#gcd-and-lcm
111
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GCD of $2$ and $4 + \sqrt{10}$ in $\mathbb{Z}[\sqrt{10}]$.

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#gcd-and-lcm #unique-factorization-domains
838
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Euclidean Algorithm for finding GCD of polynomials

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#polynomials #gcd-and-lcm #euclidean-algorithm
67
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How do I prove this greatest common divisor problem?

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#abstract-algebra #group-theory #gcd-and-lcm
38
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$d(h) = \gcd(a_1, \cdots, a_n)$ does not depend on a chosen basis for a finitely generated abelian group.

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#abstract-algebra #elementary-number-theory #abelian-groups #gcd-and-lcm
166
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use Euclid's algorithm to find a matrices relation

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#linear-algebra #matrices #elementary-number-theory #determinant #gcd-and-lcm
321
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Finding Bézout coefficients for GCD(3n+1, 2n-1)

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#abstract-algebra #number-theory #gcd-and-lcm
59
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Why is $\gcd(a,c)=1$?

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#linear-algebra #matrices #gcd-and-lcm
93
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Under what conditions on $p$ and $q$, the integers $a$ and $b$ have a common prime divisor

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#prime-numbers #prime-factorization #gcd-and-lcm
134
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How to calculate the $\gcd(10^6 +1 , 10^2 +1)$?

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#elementary-number-theory #polynomials #modular-arithmetic #gcd-and-lcm
51
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Proof or counter these gcd arguments:

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#elementary-number-theory #integers #gcd-and-lcm #euclidean-algorithm
328
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How to solve $42x = 47 \pmod{101}$?

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#modular-arithmetic #gcd-and-lcm

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