List questions from gcd-and-lcm

Published on 23 Aug 2018 - 20:33

74

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GCD of $p+q$ for all pairs of primes $p,q$ of the form $p-q=12n+2x$

Published on 25 Mar 2026 - 6:13

1.6k

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A group of soldiers was asked to fall in line making rows of three.

Published on 22 Mar 2026 - 12:40

607

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Simplifying Fractions Involving Large Numbers

Published on 26 Aug 2018 - 18:04

117

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Find all solutions for $x$ mod $777$

Published on 26 Aug 2018 - 18:13

478

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There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Published on 25 Mar 2026 - 19:04

3.8k

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Prove Order of $x^k = n/{\gcd(k,n)}$ by taking cases

Published on 27 Aug 2018 - 10:34

170

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Cyclic subgroups and greatest common divisor

Published on 30 Aug 2018 - 2:15

3.2k

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Finding minimum number of squares inside a rectangle

Published on 22 Mar 2026 - 16:18

819

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Prove $\mathbb Z \gcd(a,b)=\mathbb Z a + \mathbb Z b$ without conclusion of Bézout's identity to define $\gcd$ similar to $\text{lcm}$

Published on 31 Aug 2018 - 15:49

296

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3 proofs: If an integer divides both $a$ and $b$, then it also divides $\text{gcd}(a,b)$.

Published on 31 Aug 2018 - 16:42

666

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GCD of 3 numbers, finding s, t, u

Published on 02 Sep 2018 - 12:26

71

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Show that $\exists a, b$ where $\gcd(a,b) = d$ and $\operatorname{lcm}(a,b) = e$ iff $d \mid e$

Published on 22 Mar 2026 - 5:39

72

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Are there any other squares $n^2$ for which $\gcd(n^2, \sigma(n^2)) = 2n^2 - \sigma(n^2)$?

Published on 25 Mar 2026 - 6:04

100

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Finding GCD of recursive sequence

Published on 04 Sep 2018 - 19:52

List Question

Integrally closed non-GCD domain

GCD of $p+q$ for all pairs of primes $p,q$ of the form $p-q=12n+2x$

A group of soldiers was asked to fall in line making rows of three.

Simplifying Fractions Involving Large Numbers

Find all solutions for $x$ mod $777$

There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Prove Order of $x^k = n/{\gcd(k,n)}$ by taking cases

Cyclic subgroups and greatest common divisor

Finding minimum number of squares inside a rectangle

Prove $\mathbb Z \gcd(a,b)=\mathbb Z a + \mathbb Z b$ without conclusion of Bézout's identity to define $\gcd$ similar to $\text{lcm}$

3 proofs: If an integer divides both $a$ and $b$, then it also divides $\text{gcd}(a,b)$.

GCD of 3 numbers, finding s, t, u

Show that $\exists a, b$ where $\gcd(a,b) = d$ and $\operatorname{lcm}(a,b) = e$ iff $d \mid e$

Are there any other squares $n^2$ for which $\gcd(n^2, \sigma(n^2)) = 2n^2 - \sigma(n^2)$?

Finding GCD of recursive sequence

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