Question

Proving that a non-trivial GCD of strings $a$ and $b$ exists iff $a+b=b+a$

score 284 · Answer 1 · 2023-08-05 21:28:16

284

Views

Proving that a non-trivial GCD of strings $a$ and $b$ exists iff $a+b=b+a$

Published on 05 Aug 2023 - 21:28

score 63 · Answer 2 · 2023-08-05 21:44:03

63

Views

Proof that if gcd(a, b) = 1, then lcm(a, b) = ab

Published on 05 Aug 2023 - 21:44

score 158 · Answer 3 · 2023-08-08 16:15:02

158

Views

Common Roots of Several Multivariate Polynomials with Integer Coefficients with an Additional Property: Their GCD is Linear when Some Variables Fixed

Published on 08 Aug 2023 - 16:15

score 98 · Answer 4 · 2023-08-10 11:53:33

98

Views

Show that these ratios have numerators $\frac{1}{2} \vartheta(n) (-\exp (\Lambda (n)))$ and denominators $\exp (\Lambda (n))$ for $x=1$,

Published on 10 Aug 2023 - 11:53

score 61 · Answer 5 · 2023-08-10 18:18:11

61

Views

Relation between Diophantine equations involving multiple sums with the modulo function and greatest common divisor function.

Published on 10 Aug 2023 - 18:18

score 142 · Answer 6 · 2026-03-25 12:46:39

142

Views

Some conjectures based on surprising observations on magic squares

Published on 25 Mar 2026 - 12:46

score 47 · Answer 7 · 2023-08-19 06:13:03

47

Views

On generating certain quadruples

Published on 19 Aug 2023 - 6:13

score 35 · Answer 8 · 2023-08-20 06:02:46

35

Views

How do I prove that $\gcd(a,b)=\gcd(-a,b)$

Published on 20 Aug 2023 - 6:02

score 164 · Answer 9 · 2023-08-21 10:29:17

164

Views

Lower bound for greatest LCM

Published on 21 Aug 2023 - 10:29

score 31 · Answer 10 · 2023-08-22 09:59:00

31

Views

if $(a-b)x=km$ ,why does $m$ divide $(a-b)$ if $x$ and $m$ are relatively prime?

Published on 22 Aug 2023 - 9:59

score 101 · Answer 11 · 2023-08-26 16:42:38

101

Views

Finding the GCD in a function

Published on 26 Aug 2023 - 16:42

score 81 · Answer 12 · 2023-08-28 14:10:40

If we know $\gcd(a,b,c)=1$, does it mean $\gcd\left(\frac{a}{\gcd\left(a,b\right)},\gcd\left(c,\frac{b}{\gcd\left(a,b\right)}\right)\right)=1$

score 44 · Answer 13 · 2026-03-28 08:49:30

44

Views

Computing the least common multiple of the numbers 1 through n for incremental n

Published on 28 Mar 2026 - 8:49

score 33 · Answer 14 · 2023-08-29 03:07:45

33

Views

Notation for taking the GCD of values in a vector

Published on 29 Aug 2023 - 3:07

score 136 · Answer 15 · 2023-08-30 08:05:06

136

Views

GCD of Polynomial Roots.

Published on 30 Aug 2023 - 8:05

List Question

Proving that a non-trivial GCD of strings $a$ and $b$ exists iff $a+b=b+a$

Proof that if gcd(a, b) = 1, then lcm(a, b) = ab

Common Roots of Several Multivariate Polynomials with Integer Coefficients with an Additional Property: Their GCD is Linear when Some Variables Fixed

Show that these ratios have numerators $\frac{1}{2} \vartheta(n) (-\exp (\Lambda (n)))$ and denominators $\exp (\Lambda (n))$ for $x=1$,

Relation between Diophantine equations involving multiple sums with the modulo function and greatest common divisor function.

Some conjectures based on surprising observations on magic squares

On generating certain quadruples

How do I prove that $\gcd(a,b)=\gcd(-a,b)$

Lower bound for greatest LCM

if $(a-b)x=km$ ,why does $m$ divide $(a-b)$ if $x$ and $m$ are relatively prime?

Finding the GCD in a function

If we know $\gcd(a,b,c)=1$, does it mean $\gcd\left(\frac{a}{\gcd\left(a,b\right)},\gcd\left(c,\frac{b}{\gcd\left(a,b\right)}\right)\right)=1$

Computing the least common multiple of the numbers 1 through n for incremental n

Notation for taking the GCD of values in a vector

GCD of Polynomial Roots.

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