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15
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Interesting behaviours of $\gcd(a^n+b^n, |a - b|)$

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#number-theory #gcd-and-lcm
90
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GCD with large powers and Modulus

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#discrete-mathematics #modular-arithmetic #gcd-and-lcm #programming
85
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$\text{gcd}(d,40) = 5$, where $d$ has four digits. Determine the unknown $d$

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#elementary-number-theory #gcd-and-lcm
178
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GCD of very large numbers

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#number-theory #gcd-and-lcm
476
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Greatest number that divides $x$ and is coprime with $y$

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#gcd-and-lcm #coprime
368
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Relation between $\gcd(a, b)$ and $\gcd(a+b, \operatorname{lcm}(a, b))$

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#elementary-number-theory #gcd-and-lcm
84
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Find all functions satisfying certain requirements

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#functions #integers #gcd-and-lcm
362
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GCD and exponentiation of large numbers

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#exponentiation #gcd-and-lcm
198
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Conjecture that $ \frac{\gcd(a+b,ab)}{\gcd(a,b)} \mid \gcd(a,b)$

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#elementary-number-theory #gcd-and-lcm #conjectures
150
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Conjecture: $ \gcd(\operatorname{rad}(a+b) ,ab)= \operatorname{rad}(\gcd(a,b))$

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#elementary-number-theory #gcd-and-lcm #conjectures
460
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Not able to understand the solution of a simple math problem

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#geometry #gcd-and-lcm
614
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Prove that $\gcd(f(x),g(x)) = 1$.

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#polynomials #gcd-and-lcm
185
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A confession and a conjecture $\gcd(a-b,a+b)|2\gcd(a,b)$

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#elementary-number-theory #gcd-and-lcm
118
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A conjecture of exercise type: $\gcd(a,b)^2=\gcd(a^2+b^2,ab)$

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#elementary-number-theory #gcd-and-lcm #conjectures
80
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Prove that if $\gcd(a, b) = 1$, $x \mid a$ and $y \mid b$. then $\gcd(x, y) = 1$

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#elementary-number-theory #divisibility #gcd-and-lcm

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