List questions from gcd-and-lcm

Published on 22 Mar 2026 - 6:03

300

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If $ax + by =$ prime, are then $a$ and $b$ relative prime?

Published on 23 Mar 2026 - 7:33

590

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Show that if $\gcd(a,b) > 1$, then there can be at most one prime of the form $p = an+b$.

Published on 16 Mar 2018 - 18:45

281

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Surjective map from $\mathrm{SL}(2, \mathbb{Z})$ to $\mathrm{SL}(2,\mathbb{Z}/n\mathbb{Z})$

Published on 19 Mar 2026 - 15:12

69

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GCD of two numbers $4a^2 + 3,4ab-1$

Published on 21 Mar 2018 - 16:20

327

Views

Greatest common divisor of two numbers, $a$ and $b$

Published on 21 Mar 2018 - 22:39

204

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$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$

Published on 23 Mar 2018 - 21:21

335

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If $\gcd(m,15)=\gcd(n,15)=1,$ show that $15\mid (m^4+n^4)$ or $15\mid (m^4-n^4)$.

Published on 24 Mar 2018 - 20:19

62

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Greatest Common Devisor Proof

Published on 26 Mar 2018 - 1:55

1.2k

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If $k$ and $\ell$ are positive 4-digit integers such that $\gcd(k,\ell)=3$, what is the smallest possible value for $\mathop{\text{lcm}}[k,\ell]$?

Published on 19 Mar 2026 - 21:20

84

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Solve in integers $y^3-1=x^4+x^2$

Published on 24 Mar 2026 - 22:01

236

Views

GCD of the elements of a set

Published on 28 Mar 2018 - 7:54

90

Views

If $ax^2 = z = by^2$, then $z = \pm \operatorname{lcm}(a,b)\gcd(x,y)^2$?

Published on 20 Mar 2026 - 7:48

88

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Regarding a geometrical proof of irrationality of $\sqrt 2$ based on $\gcd$.

Published on 30 Mar 2018 - 7:05

609

Views

GCD of $X^3+1$ and $X^2+1$ in a field K

Published on 01 Apr 2018 - 14:48

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GCF and LCM Math Help

If $ax + by =$ prime, are then $a$ and $b$ relative prime?

Show that if $\gcd(a,b) > 1$, then there can be at most one prime of the form $p = an+b$.

Surjective map from $\mathrm{SL}(2, \mathbb{Z})$ to $\mathrm{SL}(2,\mathbb{Z}/n\mathbb{Z})$

GCD of two numbers $4a^2 + 3,4ab-1$

Greatest common divisor of two numbers, $a$ and $b$

$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$

If $\gcd(m,15)=\gcd(n,15)=1,$ show that $15\mid (m^4+n^4)$ or $15\mid (m^4-n^4)$.

Greatest Common Devisor Proof

If $k$ and $\ell$ are positive 4-digit integers such that $\gcd(k,\ell)=3$, what is the smallest possible value for $\mathop{\text{lcm}}[k,\ell]$?

Solve in integers $y^3-1=x^4+x^2$

GCD of the elements of a set

If $ax^2 = z = by^2$, then $z = \pm \operatorname{lcm}(a,b)\gcd(x,y)^2$?

Regarding a geometrical proof of irrationality of $\sqrt 2$ based on $\gcd$.

GCD of $X^3+1$ and $X^2+1$ in a field K

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