Question

Find the values of $k$ that satisfy $\gcd(a,b)=5$

score 163 · Answer 1 · 2020-07-24 22:56:31

163

Views

Find the values of $k$ that satisfy $\gcd(a,b)=5$

Published on 24 Jul 2020 - 22:56

score 112 · Answer 2 · 2020-07-27 02:42:03

112

Views

Proving $\gcd(a_1,\ldots,a_m)\gcd(b_1,\ldots,b_n)=\gcd(\text{all products $a_ib_j$})$

Published on 27 Jul 2020 - 2:42

score 132 · Answer 3 · 2020-07-29 14:37:35

132

Views

Number of $(\lambda_1,\cdots,\lambda_n)$ such that $\operatorname{lcm}(\lambda_1,\cdots,\lambda_n)=160$

Published on 29 Jul 2020 - 14:37

score 50 · Answer 4 · 2020-07-29 22:27:59

50

Views

How to find $n$ on equations that look like $\mathrm{gcd}(n, x)=y$.

Published on 29 Jul 2020 - 22:27

score 103 · Answer 5 · 2016-07-06 14:48:11

103

Views

Find all the numbers $a,b$ such that $\frac{2a-b}{2a+b}$ can't be reduced

Published on 06 Jul 2016 - 14:48

score 170 · Answer 6 · 2016-07-07 08:31:41

170

Views

How many natural numbers $x\leqslant 21 !$ there are such that $\gcd(x,20!)=1$

Published on 07 Jul 2016 - 8:31

score 303 · Answer 7 · 2016-07-07 22:04:35

303

Views

Find all the numbers $n$ such that $\frac{12n-6}{10n-3}$ can't be reduced.

Published on 07 Jul 2016 - 22:04

score 123 · Answer 8 · 2016-07-08 10:16:40

123

Views

Find all the numbers $n$ such that $\frac{4n-5}{60-12n}$ can't be reduced.

Published on 08 Jul 2016 - 10:16

score 83 · Answer 9 · 2016-07-08 12:35:36

83

Views

Find all the numbers $n$ such that $\frac{6n-8}{2n-5}$ can't be reduced.

Published on 08 Jul 2016 - 12:35

score 30 · Answer 10 · 2016-07-09 12:33:42

30

Views

find maximum $l$ where $ l \ge 0 $ and $ l\le k$ such that $\gcd(a_0 ,a_1 ,...,a_n,l)>1$

Published on 09 Jul 2016 - 12:33

score 130 · Answer 11 · 2016-07-09 13:39:57

130

Views

Prove that if $d\mid\gcd(a,b)$, then $d\mid a$ and $d\mid b$.

Published on 09 Jul 2016 - 13:39

score 109 · Answer 12 · 2016-07-09 14:33:30

109

Views

GCF of two large polynomials

Published on 09 Jul 2016 - 14:33

score 101 · Answer 13 · 2026-03-28 15:20:09

101

Views

Is there an interpretation for why $\sigma(x) = x \iff x = 1$, that is not (purely) number-theoretic?

Published on 28 Mar 2026 - 15:20

score 1.3k · Answer 14 · 2026-03-27 12:34:14

1.3k

Views

A condition for being a prime: $\;\forall m,n\in\mathbb Z^+\!:\,p=m+n\implies \gcd(m,n)=1$

Published on 27 Mar 2026 - 12:34

score 183 · Answer 15 · 2016-07-12 16:44:27

183

Views

Visualizing Greatest Common Divisor (gcd)

Published on 12 Jul 2016 - 16:44

List Question

Find the values of $k$ that satisfy $\gcd(a,b)=5$

Proving $\gcd(a_1,\ldots,a_m)\gcd(b_1,\ldots,b_n)=\gcd(\text{all products $a_ib_j$})$

Number of $(\lambda_1,\cdots,\lambda_n)$ such that $\operatorname{lcm}(\lambda_1,\cdots,\lambda_n)=160$

How to find $n$ on equations that look like $\mathrm{gcd}(n, x)=y$.

Find all the numbers $a,b$ such that $\frac{2a-b}{2a+b}$ can't be reduced

How many natural numbers $x\leqslant 21 !$ there are such that $\gcd(x,20!)=1$

Find all the numbers $n$ such that $\frac{12n-6}{10n-3}$ can't be reduced.

Find all the numbers $n$ such that $\frac{4n-5}{60-12n}$ can't be reduced.

Find all the numbers $n$ such that $\frac{6n-8}{2n-5}$ can't be reduced.

find maximum $l$ where $ l \ge 0 $ and $ l\le k$ such that $\gcd(a_0 ,a_1 ,...,a_n,l)>1$

Prove that if $d\mid\gcd(a,b)$, then $d\mid a$ and $d\mid b$.

GCF of two large polynomials

Is there an interpretation for why $\sigma(x) = x \iff x = 1$, that is not (purely) number-theoretic?

A condition for being a prime: $\;\forall m,n\in\mathbb Z^+\!:\,p=m+n\implies \gcd(m,n)=1$

Visualizing Greatest Common Divisor (gcd)

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