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15
103
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For $\gcd(p,q) = 1$ and $\gcd(r,s) = 1$ show $\gcd(ps,rq) = 1$.

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#gcd-and-lcm #integers
74
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For what $k$ are the numbers $4n+1, kn+1$ coprime?

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#elementary-number-theory #contest-math #gcd-and-lcm
105
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$ x_n = 1 + 2a + 3a ^ 2 + \cdots + na ^ {n-1}$ has any three consecutive terms coprime

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#elementary-number-theory #gcd-and-lcm
147
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Prove $\gcd(4,10)≠1$

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#gcd-and-lcm
729
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How to formally prove that $\gcd(a,1) = 1$ when $a \in Z$

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#elementary-number-theory #gcd-and-lcm
59
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Writing code in GAP

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#abelian-groups #gcd-and-lcm #cyclic-groups #gap
33
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I don't understand how a certain step has been reached.

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#discrete-mathematics #gcd-and-lcm #euclidean-algorithm
224
Views

Proving a and b are perfect squares if and only if $\gcd(a,b)$ and $\operatorname{lcm}(a,b)$ are perfect squares

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#gcd-and-lcm #square-numbers
115
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Inverse number using gcd

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#abstract-algebra #inverse #gcd-and-lcm
183
Views

GCD and LCM number theory problem

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#elementary-number-theory #gcd-and-lcm
551
Views

If $\gcd(a,b,c) = 1$ and $c = {ab\over a-b}$, then prove that $a-b$ is a square.

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#elementary-number-theory #gcd-and-lcm
58
Views

Summation of gcd on the divisors of a number.

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#summation #gcd-and-lcm
130
Views

Prove GCD statement with multiple variables

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#gcd-and-lcm
85
Views

If $gcd(a,b)=d$ and $a^2+b^2=c^2$, show that $gcd(a,c)=gcd(b,c)=d$.

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#elementary-number-theory #gcd-and-lcm
22
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units+gcd in a PID

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#gcd-and-lcm #principal-ideal-domains

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