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Prove that if $gcd(a, b)=d$ then $gcd(a^2, b^2 )=d^2$

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#number-theory #divisibility #gcd-and-lcm
74
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Bezout's coefficients proof

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#abstract-algebra #discrete-mathematics #gcd-and-lcm
197
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Since the gcd of two numbers is not unique, shouldn't "gcd" be read "great common divisor" instead of "greatest common divisor"?

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#abstract-algebra #terminology #gcd-and-lcm
212
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Largest number of different values in $f(0),f(1),..,f(999)$ given $f(x)=f(398-x)=f(2158-x)=f(3214-x)$

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#combinatorics #functions #contest-math #gcd-and-lcm #periodic-functions
66
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Reference for GCD domains

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#abstract-algebra #ring-theory #reference-request #gcd-and-lcm
72
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Find the GCD of $2^{60}-1$ and $2^{50}-1$

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#elementary-number-theory #gcd-and-lcm
206
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When $\gcd(a,b,c)\cdot \text{lcm}(a,b,c)=\sqrt{abc}$

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#elementary-number-theory #gcd-and-lcm
176
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Number Theory- $\gcd( p!,(p-3)! -1)$

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#elementary-number-theory #prime-numbers #factorial #gcd-and-lcm
180
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Integer solutions to $m+n=\text{gcd}(m,n)+\text{lcm}(m,n)=9!$

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#number-theory #elementary-number-theory #gcd-and-lcm
272
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How do you express "Every pair of integer has a greatest common divisor" in mathematical terms?

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#propositional-calculus #gcd-and-lcm #logic-translation
179
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When is the product of two "primitive" complex integers also "primitive"?

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#elementary-number-theory #ideals #gcd-and-lcm #pythagorean-triples
74
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elementary number theory gcd lcm

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#elementary-number-theory #gcd-and-lcm
38
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$T$-Annihilators divided by gcd divide another $T$-Annihilator

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#linear-algebra #polynomials #vector-spaces #divisibility #gcd-and-lcm
126
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Proving that $k|(n^k-n)$ for prime $k$

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#elementary-number-theory #divisibility #gcd-and-lcm #prime-factorization
189
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Rouché's theorem, and distinct zeroes.

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#complex-analysis #gcd-and-lcm #rouches-theorem

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