List questions from gcd-and-lcm

Published on 18 Mar 2020 - 20:24

35

Views

Given $a=qb+r$, prove $\gcd(a,b)=\gcd(b,r)$

Published on 19 Mar 2020 - 17:38

197

Views

Solving gcd problem , is $\gcd(x,y)=1$ equivalent to $ p \not \mid x $ for EVERY prime divisor of $y$

Published on 20 Mar 2020 - 14:49

40

Views

Circle: How it can be proven, that always there is a number m such that after m*k moves one can return to the starting point n(i)?

Published on 20 Mar 2020 - 16:20

50

Views

The exact sequence splits iff $gcd(r,s)=1$

Published on 27 Mar 2026 - 5:37

77

Views

Line in proof: $\gcd(a,b) \le \gcd(b,r)$ - why?

Published on 23 Mar 2020 - 15:27

51

Views

Differing polynomial GCDs over the field $\mathbb{Z}_{11}$

Published on 23 Mar 2020 - 17:51

161

Views

For all integers y, if $\gcd(9,y) = 3,$ then $\gcd(9,y^2) = 9$

Published on 26 Mar 2020 - 13:18

35

Views

The GCF of all "bad" numbers less than $2020^{2020}+1$

Published on 27 Mar 2020 - 9:30

268

Views

Intersection of Ideals of coprime elements in a UFD

Published on 23 Feb 2026 - 8:39

89

Views

Help with defining a group

Published on 31 Mar 2020 - 2:27

37

Views

Do there exist $a(x),b(x)\in\Bbb{Q}[x]$ s.t. $(x^4+4x^3-7x+2)a(x)+(x^2+3x-4)b(x)=x^2+1$?

Published on 02 Apr 2020 - 12:38

413

Views

Determine integers u and v from GCD(308,273) using GCD algorithm

Published on 04 Apr 2020 - 1:13

412

Views

Proof that if $\gcd(a,p^2)=p$ and $\gcd(b,p^3)=p^2$ then $(ab,p^4)=p^3$

Published on 04 Apr 2020 - 14:17

28

Views

When does $\gcd(a^n+b^n,|a-b|)=\gcd(a+b,|a-b|)$?

Published on 04 Apr 2020 - 20:04

List Question

Proving existence of $\gcd$: Artin exercise 2.3.3

Given $a=qb+r$, prove $\gcd(a,b)=\gcd(b,r)$

Solving gcd problem , is $\gcd(x,y)=1$ equivalent to $ p \not \mid x $ for EVERY prime divisor of $y$

Circle: How it can be proven, that always there is a number m such that after m*k moves one can return to the starting point n(i)?

The exact sequence splits iff $gcd(r,s)=1$

Line in proof: $\gcd(a,b) \le \gcd(b,r)$ - why?

Differing polynomial GCDs over the field $\mathbb{Z}_{11}$

For all integers y, if $\gcd(9,y) = 3,$ then $\gcd(9,y^2) = 9$

The GCF of all "bad" numbers less than $2020^{2020}+1$

Intersection of Ideals of coprime elements in a UFD

Help with defining a group

Do there exist $a(x),b(x)\in\Bbb{Q}[x]$ s.t. $(x^4+4x^3-7x+2)a(x)+(x^2+3x-4)b(x)=x^2+1$?

Determine integers u and v from GCD(308,273) using GCD algorithm

Proof that if $\gcd(a,p^2)=p$ and $\gcd(b,p^3)=p^2$ then $(ab,p^4)=p^3$

When does $\gcd(a^n+b^n,|a-b|)=\gcd(a+b,|a-b|)$?

Trending Questions

Popular # Hahtags

Popular Questions