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GCD sum using Euler's Totient

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#number-theory #prime-numbers #gcd-and-lcm #totient-function
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Finding the greatest common divisor of two polynomials in a ring

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#abstract-algebra #modular-arithmetic #gcd-and-lcm
167
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How to prove that if $\gcd(n,k)=1$ then $\gcd(f,nk)=\gcd(f,n)·\gcd(f,k)$ by primes

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#elementary-number-theory #gcd-and-lcm
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Properties about gcd and lcm

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#elementary-number-theory #arithmetic #gcd-and-lcm #least-common-multiple
55
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Does $D(n)$ always depend on $\gcd(n,\sigma(n))$ when $\sigma(N)=aN+b$, $N=xn$, and $n$ is a square?

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#number-theory #elementary-number-theory #gcd-and-lcm #divisor-sum #arithmetic-functions
282
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What am I doing wrong in finding the $\gcd(x^3-2x^2-x+2, x^3-4x^2+3x)$?

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#linear-algebra #proof-verification #gcd-and-lcm
803
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GCD and the cycle decomposition of a permutation

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#group-theory #permutations #finite-groups #gcd-and-lcm
36
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understanding proof of theorem(1) of greatest common divisor in 'higher algebra' by bernard and child?

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#number-theory #gcd-and-lcm
709
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g.c.d. and l.c.m. in $\mathbb{Z}[\sqrt{-3}]$

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#ring-theory #commutative-algebra #field-theory #gcd-and-lcm #least-common-multiple
201
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Do odd numbers $n$ satisfying $\gcd(n, \sigma(n)) > \sqrt{n}$ have a special form?

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#elementary-number-theory #gcd-and-lcm #conjectures #divisor-sum #arithmetic-functions
425
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In a principal ideal domain, gcd(a,b) always exists and can always be expressed as $xa +yb$ with some $x, y /in R$

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#abstract-algebra #ring-theory #gcd-and-lcm #principal-ideal-domains
139
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Prove that $(a+nb,b)=(a,b)$

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#elementary-number-theory #gcd-and-lcm
40
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Common Denominators, What is A + B

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#gcd-and-lcm
235
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Divisors of consecutive sequences

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#number-theory #elementary-number-theory #gcd-and-lcm
164
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Trouble understanding polynomial GCD

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#polynomials #gcd-and-lcm

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