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A question about the overall characteristics of GCD statistical series

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#limits #gcd-and-lcm #natural-numbers
43
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Prove that $\gcd(a, b) = \gcd(|a|, |b|)$

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#elementary-number-theory #solution-verification #gcd-and-lcm
71
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If $c\ge b\ge a$ and $c\mid a^2,b^2$, and $a$ is the minimal number satisfy $c\mid a^2$, does $a$ necessarily divide $b$?

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#elementary-number-theory #gcd-and-lcm #square-numbers
66
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If $x^2\equiv y^2\mod n$, does $\gcd(x-y,n)$ divide $n$?

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#elementary-number-theory #gcd-and-lcm #prime-factorization
55
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If $a \mid 6$ and $b \mid 2$, how to prove $lcm(a,b)$ can't be greater than $6$?

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#gcd-and-lcm
62
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Prove that if $e.d \equiv 1 \bmod (p-1)(q-1)$ then it’s impossible to have $e.d \equiv 1 \bmod pq$

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#modular-arithmetic #gcd-and-lcm #cryptography #totient-function
63
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Proof about gcd and resultant in UFD

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#linear-algebra #gcd-and-lcm #unique-factorization-domains
81
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Calculating the gcd of two polynomials in integers using a prime field

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#polynomials #finite-fields #gcd-and-lcm #p-adic-number-theory #euclidean-algorithm
58
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notation lcm of a set of numbers

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#notation #gcd-and-lcm
98
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Show that the GCD of 3+4i and 7-i in Z[i] is 1

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#abstract-algebra #ring-theory #gcd-and-lcm #gaussian-integers
58
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Condition for No Solution in Dividing Apples Equally Among People

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#discrete-mathematics #algorithms #divisibility #gcd-and-lcm
62
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Find the greatest common divisor of $r+1$ binomial coefficients

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#elementary-number-theory #contest-math #binomial-coefficients #gcd-and-lcm
49
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Equation in ring Q[x]

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#elementary-number-theory #gcd-and-lcm
52
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Extended Euclidian algorithm for polynomials

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#elementary-number-theory #polynomials #gcd-and-lcm #euclidean-algorithm
203
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Olympiad Number Theory Problem GCD

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#elementary-number-theory #contest-math #gcd-and-lcm

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