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15
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When the algebraic degree of the ring containing the GCD is not obvious

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#algebraic-number-theory #gcd-and-lcm
72
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How do I prove this very basic gcd equivalence for the case where there is no common divisor except 1?

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#elementary-number-theory #gcd-and-lcm
106
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How can I prove this basic implication of gcd?

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#elementary-number-theory #gcd-and-lcm
540
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How do I show that if two gcds are the same, then their values are the same?

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#elementary-number-theory #gcd-and-lcm
66
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GCD of multiple elements in a UFD

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#abstract-algebra #gcd-and-lcm #unique-factorization-domains
95
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If $\gcd(a, ab) = p^3$ then $\gcd(a^2, b^2) =?$

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#elementary-number-theory #prime-numbers #gcd-and-lcm
388
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Evaluate $\prod_{p=1}^{\lfloor {n/2} \rfloor} \cos\left( \frac{\pi pk}{n} \right)$ with $k \in \mathbb{N}$

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#trigonometry #gcd-and-lcm #products
120
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Primitive Pythagorean Triplet generated by Euclid's Formula - Proof of primitiveness?

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#elementary-number-theory #gcd-and-lcm #pythagorean-triples
558
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$\gcd(a/\gcd(a,b)$,$b/\gcd(a,b))=1$

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#abstract-algebra #ring-theory #gcd-and-lcm
223
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Estimating variance with $\gcd$ in it

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#generating-functions #gcd-and-lcm #variance
815
Views

$\gcd$ in fields

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#abstract-algebra #gcd-and-lcm
796
Views

How do I prove that if $a|c$ and $b|c$ then $ab | c$ if $\gcd(a,b) = 1$?

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#modular-arithmetic #gcd-and-lcm
1k
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n-ary version of gcd$(a,b)\space $lcm$(a,b)$ = $ab$

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#number-theory #gcd-and-lcm
9.1k
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If $a \mid m$ and $(a + 1) \mid m$, prove $a(a + 1) | m$.

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#number-theory #divisibility #gcd-and-lcm #least-common-multiple
3.3k
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Pairs of numbers with a given LCM

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#combinatorics #number-theory #gcd-and-lcm

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