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 105 · Answer 1 · 2026-05-07 10:12:33

105

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 07 May 2026 - 10:12

score 78 · Answer 2 · 2026-05-05 23:52:17

78

Views

GCD of common divisors in integral domain

Published on 05 May 2026 - 23:52

score 112 · Answer 3 · 2026-05-06 02:39:43

112

Views

How do I solve this difficult gcd question?

Published on 06 May 2026 - 2:39

score 88 · Answer 4 · 2026-05-06 08:55:13

88

Views

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

Published on 06 May 2026 - 8:55

score 138 · Answer 5 · 2026-05-05 19:50:46

138

Views

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

Published on 05 May 2026 - 19:50

score 492 · Answer 6 · 2026-05-05 21:59:06

492

Views

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

Published on 05 May 2026 - 21:59

score 1.8k · Answer 7 · 2026-05-05 13:02:18

1.8k

Views

Least number of cuts to share sausages equally

Published on 05 May 2026 - 13:02

score 51 · Answer 8 · 2026-05-06 00:08:50

51

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 06 May 2026 - 0:08

score 825 · Answer 9 · 2026-05-05 21:59:07

825

Views

GCD as linear combination of two numbers

Published on 05 May 2026 - 21:59

score 170 · Answer 10 · 2026-05-05 12:07:58

170

Views

A question regarding greatest common divisor

Published on 05 May 2026 - 12:07

score 1.9k · Answer 11 · 2026-05-05 18:19:53

1.9k

Views

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

Published on 05 May 2026 - 18:19

score 766 · Answer 12 · 2026-05-10 11:21:53

766

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 10 May 2026 - 11:21

score 321 · Answer 13 · 2026-05-01 08:33:02

321

Views

Kernel and image of coprime factors of the minimal polynomial

Published on 01 May 2026 - 8:33

score 1k · Answer 14 · 2026-05-10 11:20:36

1k

Views

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

Published on 10 May 2026 - 11:20

score 50 · Answer 15 · 2026-05-10 11:20:55

50

Views

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

Published on 10 May 2026 - 11:20

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 $\gcd(x,m) \neq 1$

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