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Find n where $GCD(a_{n}, 14) = 7$

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#elementary-number-theory #gcd-and-lcm
890
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Split output from one conveyor belt equally to five other conveyor belts.

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#algebra-precalculus #elementary-number-theory #divisibility #diophantine-equations #gcd-and-lcm
72
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Suppose $n \geq a_1>a_2>...>a_k\geq1$ and $lcm(a_i,a_j) \leq n$ for $i,j=1,2,...,k$. Show that $ia_i \leq n$.

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#elementary-number-theory #gcd-and-lcm
131
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Find the GCD Product of a number and its power

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#number-theory #elementary-number-theory #gcd-and-lcm
122
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find a upper bound of a product of gcd

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#elementary-number-theory #divisibility #gcd-and-lcm #upper-lower-bounds #totient-function
63
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Is $GCD(2^n,(x^2+1)^{n-1})=1$

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#gcd-and-lcm
41
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Given $a, b$ positive integers, such that $\gcd(a, b) = 2$, $\gcd(a, 5) = 1$ and $a|5b$, show $a = 2$

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#discrete-mathematics #gcd-and-lcm
137
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Euclidean GCD and why does it work?

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#gcd-and-lcm #euclidean-algorithm
204
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Prove that the elements of a sequence are pairwise co-prime

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#prime-numbers #divisibility #gcd-and-lcm #coprime
73
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Proof $gcd(2^{2x},2x)=2gcd(2^{x},x)$

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#number-theory #functions #exponential-function #gcd-and-lcm
22
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How to find the greatest amount of savings from two people when it is related with a division?

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#algebra-precalculus #arithmetic #divisibility #gcd-and-lcm
37
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How to find the number of trousers sold by a merchant on a specific day of the month?

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#algebra-precalculus #arithmetic #gcd-and-lcm #word-problem
95
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Find $d(x) = \gcd(f(x), g(x))$ and write $d(x)$ as a polynomial combination of both $f(x)$ and $g(x)$

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#abstract-algebra #ring-theory #gcd-and-lcm
94
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Proving that $aR + bR = \gcd(a, b)R.$

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#number-theory #elementary-number-theory #gcd-and-lcm #euclidean-domain
20
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Example of a ring satisfying Euclid's lemma, but with no gcd and/or lcm.

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#ring-theory #examples-counterexamples #gcd-and-lcm

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