Question

Proof of The GCD Distributive Indentity

score 96 · Answer 1 · 2020-08-29 14:18:49

96

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Proof of The GCD Distributive Indentity

Published on 29 Aug 2020 - 14:18

score 4.6k · Answer 2 · 2020-08-31 15:59:49

4.6k

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The number of ordered pairs $(p, q)$ of positive integers, whose $\operatorname{lcm}$ is $8100$

Published on 31 Aug 2020 - 15:59

score 72 · Answer 3 · 2020-09-01 03:57:15

72

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Units mod $n$ is a well-defined set

Published on 01 Sep 2020 - 3:57

score 284 · Answer 4 · 2026-03-28 12:14:49

284

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How to compute sum of sum of gcd of factor pairs of a number upto a large number efficiently?

Published on 28 Mar 2026 - 12:14

score 237 · Answer 5 · 2020-09-03 21:12:36

237

Views

In a commutative ring, GCD exists implies LCM exists?

Published on 03 Sep 2020 - 21:12

score 1.2k · Answer 6 · 2020-09-07 02:24:35

1.2k

Views

The application of Bezout's identity on $\gcd(a, b) = 1$ and $\gcd(a, c) = 1$, then $\gcd(a, bc) = 1.$

Published on 07 Sep 2020 - 2:24

score 243 · Answer 7 · 2020-09-07 07:18:55

243

Views

Greatest common factor

Published on 07 Sep 2020 - 7:18

score 191 · Answer 8 · 2026-03-29 07:28:41

191

Views

How do I prove $\gcd(4x^2 + 1, 2x + 1) = 1$?

Published on 29 Mar 2026 - 7:28

score 152 · Answer 9 · 2020-09-09 09:01:18

152

Views

If $ab = cd$ then prove $a = \frac{gcd(a,c)\text{ }\times\text{ } gcd(a,d)}{gcd(a,b,c,d)}$

Published on 09 Sep 2020 - 9:01

score 1.4k · Answer 10 · 2020-09-11 16:56:39

1.4k

Views

Prove that if $a \mid b$ then $\gcd(a,b) = |a|$

Published on 11 Sep 2020 - 16:56

score 47 · Answer 11 · 2020-09-12 14:19:51

47

Views

Question on number system to find integral solutions from the given expressions.

Published on 12 Sep 2020 - 14:19

score 91 · Answer 12 · 2020-09-12 18:07:32

91

Views

Show that the sequence contains at least one prime term

Published on 12 Sep 2020 - 18:07

score 103 · Answer 13 · 2020-09-12 21:38:34

103

Views

Solve for natural numbers $\begin{cases}13n-9m=110\\\text {lcm}(n,m)-\text{gcd}(n,m)=3n+12\end{cases}$

Published on 12 Sep 2020 - 21:38

score 97 · Answer 14 · 2020-09-13 08:17:35

97

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Prove $\gcd(b^2+ab,a^2+2ab)=1 $ if $\gcd(a,b)=1$

Published on 13 Sep 2020 - 8:17

score 373 · Answer 15 · 2020-09-13 10:28:56

373

Views

How many functions $f(x)$, $f:N→N$ exist such that $LCM(f(n),n)-HCF(f(n),n)<5$?

Published on 13 Sep 2020 - 10:28

List Question

Proof of The GCD Distributive Indentity

The number of ordered pairs $(p, q)$ of positive integers, whose $\operatorname{lcm}$ is $8100$

Units mod $n$ is a well-defined set

How to compute sum of sum of gcd of factor pairs of a number upto a large number efficiently?

In a commutative ring, GCD exists implies LCM exists?

The application of Bezout's identity on $\gcd(a, b) = 1$ and $\gcd(a, c) = 1$, then $\gcd(a, bc) = 1.$

Greatest common factor

How do I prove $\gcd(4x^2 + 1, 2x + 1) = 1$?

If $ab = cd$ then prove $a = \frac{gcd(a,c)\text{ }\times\text{ } gcd(a,d)}{gcd(a,b,c,d)}$

Prove that if $a \mid b$ then $\gcd(a,b) = |a|$

Question on number system to find integral solutions from the given expressions.

Show that the sequence contains at least one prime term

Solve for natural numbers $\begin{cases}13n-9m=110\\\text {lcm}(n,m)-\text{gcd}(n,m)=3n+12\end{cases}$

Prove $\gcd(b^2+ab,a^2+2ab)=1 $ if $\gcd(a,b)=1$

How many functions $f(x)$, $f:N→N$ exist such that $LCM(f(n),n)-HCF(f(n),n)<5$?

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