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Conjecture about divisibility: if $d \mid n$, then there exists $r,s$ such that $n=r+s$ and $d = \gcd(r,s)$

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#elementary-number-theory #divisibility #gcd-and-lcm
8k
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Relation between HCF, LCM and product of multiple numbers

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#elementary-number-theory #products #gcd-and-lcm #least-common-multiple
257
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Proving that these terms have no common factors

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#elementary-number-theory #divisibility #gcd-and-lcm
19
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number of days it takes to visit all the locations in matrix

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#number-theory #elementary-number-theory #gcd-and-lcm
107
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$p\in\mathbb P\iff\Big(2\leq k<\sqrt p\implies\gcd(k^2,p-k^2)=1\Big ),\;p>3$

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#elementary-number-theory #algorithms #prime-numbers #gcd-and-lcm #primality-test
329
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Find $\gcd$ of $(2016)^{ 2017}-1$ and $(2016)^{ 2016}-1$

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#elementary-number-theory #gcd-and-lcm
366
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Find the gcd of the following Gaussian integers

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#number-theory #elementary-number-theory #gcd-and-lcm #gaussian-integers
146
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Finding the highest common factor in a set of numbers

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#gcd-and-lcm
94
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GCD Summation function

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#summation #gcd-and-lcm
59
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Inverse modulo certain numbers.

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#modular-arithmetic #inverse #integers #gcd-and-lcm
4.1k
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$\Bbb Z[\sqrt{-5}]$ is not a PID

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#abstract-algebra #elementary-number-theory #ring-theory #gcd-and-lcm #principal-ideal-domains
243
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Finding the $\gcd$ of polynomials in $\Bbb R[x]$

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#abstract-algebra #polynomials #gcd-and-lcm
244
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Asymptotic growth of l.c.m. of all integers below $k$

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#asymptotics #gcd-and-lcm
207
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Number theory problem, fractions and gcd

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#number-theory #inequality #fractions #gcd-and-lcm
1k
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Is $\gcd(a,b) = \gcd(2a,b)$?

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#elementary-number-theory #problem-solving #proof-explanation #gcd-and-lcm

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