Question

How do I show that if $\boldsymbol{a_1 a_2 a_3\cdots a_n \mid k}$ then each variable divides $\boldsymbol k $?

score 88 · Answer 1 · 2026-03-22 20:42:42

88

Views

How do I show that if $\boldsymbol{a_1 a_2 a_3\cdots a_n \mid k}$ then each variable divides $\boldsymbol k $?

Published on 22 Mar 2026 - 20:42

score 67 · Answer 2 · 2026-03-22 19:44:07

67

Views

GCD of common divisors in integral domain

Published on 22 Mar 2026 - 19:44

score 102 · Answer 3 · 2026-03-22 11:28:07

102

Views

How do I solve this difficult gcd question?

Published on 22 Mar 2026 - 11:28

score 79 · Answer 4 · 2026-03-17 07:27:27

79

Views

Fractions of the form $\frac{a}{k}\cdot\frac{b}{k}\cdot\frac{c}{k}\cdots=\frac{n}{k}$

Published on 17 Mar 2026 - 7:27

score 126 · Answer 5 · 2026-03-18 04:28:59

126

Views

Why can't be a number the gcd of two numbers?

Published on 18 Mar 2026 - 4:28

score 483 · Answer 6 · 2026-03-17 08:25:19

483

Views

Prove that if $\gcd(m, n) > 1$, then there do not exist integers $x, y$ so that $mx + ny = 1$.

Published on 17 Mar 2026 - 8:25

score 1.8k · Answer 7 · 2026-03-17 11:47:57

1.8k

Views

Least number of cuts to share sausages equally

Published on 17 Mar 2026 - 11:47

score 44 · Answer 8 · 2026-03-18 02:17:49

44

Views

For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

Published on 18 Mar 2026 - 2:17

score 816 · Answer 9 · 2026-03-22 11:42:45

816

Views

GCD as linear combination of two numbers

Published on 22 Mar 2026 - 11:42

score 160 · Answer 10 · 2026-03-22 17:33:39

160

Views

A question regarding greatest common divisor

Published on 22 Mar 2026 - 17:33

score 1.8k · Answer 11 · 2026-03-22 03:10:49

1.8k

Views

Proof verification: $\gcd(a,n)=1$ iff $ab\equiv 1\pmod{n}$ for some integer $b$.

Published on 22 Mar 2026 - 3:10

score 758 · Answer 12 · 2026-03-20 06:49:59

758

Views

Proof verification: Let $a,b\in \mathbb{Z}_{0}$. If there exists integers $r$ and $s$ such that $ar+bs=1$, show that $gcd(a,b)=1$.

Published on 20 Mar 2026 - 6:49

score 314 · Answer 13 · 2026-03-19 21:37:16

314

Views

Kernel and image of coprime factors of the minimal polynomial

Published on 19 Mar 2026 - 21:37

score 1k · Answer 14 · 2026-03-25 03:01:38

1k

Views

possible values of $\gcd{(5n+9,3n+3)}$ for every positive integer $n$

Published on 25 Mar 2026 - 3:01

score 44 · Answer 15 · 2026-03-25 01:36:22

44

Views

Modular inverse non-existence if $\gcd(x,m) \neq 1$

Published on 25 Mar 2026 - 1:36

List Question

How do I show that if $\boldsymbol{a_1 a_2 a_3\cdots a_n \mid k}$ then each variable divides $\boldsymbol k $?

GCD of common divisors in integral domain

How do I solve this difficult gcd question?

Fractions of the form $\frac{a}{k}\cdot\frac{b}{k}\cdot\frac{c}{k}\cdots=\frac{n}{k}$

Why can't be a number the gcd of two numbers?

Prove that if $\gcd(m, n) > 1$, then there do not exist integers $x, y$ so that $mx + ny = 1$.

Least number of cuts to share sausages equally

For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

GCD as linear combination of two numbers

A question regarding greatest common divisor

Proof verification: $\gcd(a,n)=1$ iff $ab\equiv 1\pmod{n}$ for some integer $b$.

Proof verification: Let $a,b\in \mathbb{Z}_{0}$. If there exists integers $r$ and $s$ such that $ar+bs=1$, show that $gcd(a,b)=1$.

Kernel and image of coprime factors of the minimal polynomial

possible values of $\gcd{(5n+9,3n+3)}$ for every positive integer $n$

Modular inverse non-existence if $\gcd(x,m) \neq 1$

Trending Questions

Popular # Hahtags

Popular Questions