Question

You're going to laugh, but the nonzero integers have a natural group law using multiplication and gcd formula (no addition!)

score 157 · Answer 1 · 2023-06-04 21:53:51

157

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You're going to laugh, but the nonzero integers have a natural group law using multiplication and gcd formula (no addition!)

Published on 04 Jun 2023 - 21:53

score 41 · Answer 2 · 2026-02-23 13:43:09

41

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Possible values of $\gcd(2a^2+6a-4, 2a^2+4a-3)$

Published on 23 Feb 2026 - 13:43

score 45 · Answer 3 · 2026-03-29 12:57:26

45

Views

Prove that if $\text{gcd}(v, w) \simeq av + bw$, then $\text{gcd}(a, b) \simeq 1$.

Published on 29 Mar 2026 - 12:57

score 13 · Answer 4 · 2026-03-01 01:50:08

13

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Positive vs Negative HCF of Compound Algebraic Expressions

Published on 01 Mar 2026 - 1:50

score 71 · Answer 5 · 2023-06-13 15:55:35

71

Views

Why does $a \in \mathbb{Z_n}$ have an inverse element $a^{-1} \in \mathbb{Z_n}(x; +; \cdot)$ if $gcd(n; a) \sim 1$?

Published on 13 Jun 2023 - 15:55

score 33 · Answer 6 · 2023-06-14 08:53:43

33

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Nested GCD simplification

Published on 14 Jun 2023 - 8:53

score 45 · Answer 7 · 2023-06-14 20:53:39

45

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GCD simplification

Published on 14 Jun 2023 - 20:53

score 53 · Answer 8 · 2026-03-28 21:27:07

53

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Limit involving $\pi$ and the Fibonacci sequence.

Published on 28 Mar 2026 - 21:27

score 43 · Answer 9 · 2026-03-29 08:15:02

43

Views

Minimal slices for dividing $m$ pizzas to $n$ people is $m+n-\gcd(m,n)$

Published on 29 Mar 2026 - 8:15

score 58 · Answer 10 · 2026-03-29 17:11:48

58

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$X \equiv 1 \pmod{20} \land X \equiv 1 \pmod{22} \iff X \equiv 1 \pmod{\operatorname{lcm}(20,22)}$

Published on 29 Mar 2026 - 17:11

score 33 · Answer 11 · 2026-03-25 20:35:24

33

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Congruence equation $v^q \equiv a \pmod p $

Published on 25 Mar 2026 - 20:35

score 51 · Answer 12 · 2023-06-30 13:37:12

51

Views

Figuring out $\gcd(5a+3,4a+7)$ for $a>0$

Published on 30 Jun 2023 - 13:37

score 57 · Answer 13 · 2023-07-01 11:31:31

57

Views

If $\gcd(a,bc)=d$, we can say that $d|a$ and $d|bc$ but what about $d|b$, $d|c$ individually?

Published on 01 Jul 2023 - 11:31

score 88 · Answer 14 · 2026-03-29 17:07:12

88

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Using Chinese Remainder theorem to find number of solutions of modular exponentiation mod composite number

Published on 29 Mar 2026 - 17:07

score 38 · Answer 15 · 2026-03-27 12:03:50

38

Views

Is $\gcd(a^n-1,a^nm) = \gcd(a^n-1,m)?$

Published on 27 Mar 2026 - 12:03

List Question

You're going to laugh, but the nonzero integers have a natural group law using multiplication and gcd formula (no addition!)

Possible values of $\gcd(2a^2+6a-4, 2a^2+4a-3)$

Prove that if $\text{gcd}(v, w) \simeq av + bw$, then $\text{gcd}(a, b) \simeq 1$.

Positive vs Negative HCF of Compound Algebraic Expressions

Why does $a \in \mathbb{Z_n}$ have an inverse element $a^{-1} \in \mathbb{Z_n}(x; +; \cdot)$ if $gcd(n; a) \sim 1$?

Nested GCD simplification

GCD simplification

Limit involving $\pi$ and the Fibonacci sequence.

Minimal slices for dividing $m$ pizzas to $n$ people is $m+n-\gcd(m,n)$

$X \equiv 1 \pmod{20} \land X \equiv 1 \pmod{22} \iff X \equiv 1 \pmod{\operatorname{lcm}(20,22)}$

Congruence equation $v^q \equiv a \pmod p $

Figuring out $\gcd(5a+3,4a+7)$ for $a>0$

If $\gcd(a,bc)=d$, we can say that $d|a$ and $d|bc$ but what about $d|b$, $d|c$ individually?

Using Chinese Remainder theorem to find number of solutions of modular exponentiation mod composite number

Is $\gcd(a^n-1,a^nm) = \gcd(a^n-1,m)?$

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