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15
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Show that $12n+5$ and $5n-2$ are relatively prime for all $n$ (in $\mathbb{Z}$)

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#elementary-number-theory #gcd-and-lcm #euclidean-algorithm
62
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LCM Inequality proof

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#integers #gcd-and-lcm
271
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$\gcd(2k_1,2k_2−1)=\gcd(k_1,2k_2−1)$

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#elementary-number-theory #gcd-and-lcm
250
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Prove identity involving $\operatorname{lcm}(x, y, z)$

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#number-theory #elementary-number-theory #arithmetic #gcd-and-lcm
21
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Lower bound for denominator of $\displaystyle \frac {a_1}{b_1} + \frac {a_2}{b_2}$ in terms of $b_1$ and $b_2$.

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#number-theory #fractions #gcd-and-lcm #upper-lower-bounds
65
Views

Find the required gcd

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#gcd-and-lcm
83
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How do I prove this statement about greatest common divider?

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#number-theory #discrete-mathematics #divisibility #gcd-and-lcm
175
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GCD of $n^2-3n-1$ and $n-4$

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#number-theory #gcd-and-lcm
515
Views

Geometric interpretation of the greatest common divisor

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#number-theory #book-recommendation #gcd-and-lcm
325
Views

Proving a necessary condition for an egyptian fraction with odd denominators

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#alternative-proof #gcd-and-lcm #egyptian-fractions
581
Views

If a power of 2 divides a number, under what conditions does it divide a binomial coefficient involving the number that it divides?

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#combinatorics #number-theory #binomial-coefficients #divisibility #gcd-and-lcm
77
Views

Prove Divide and Combinations.

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#combinatorics #proof-writing #gcd-and-lcm
89
Views

Why is the gcd of $61+35\sqrt{3} $ and $170+32\sqrt{3}$ is $19 + 11\sqrt{3}$?

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#abstract-algebra #ring-theory #gcd-and-lcm #euclidean-algorithm
100
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Proving $\gcd(4k+2,k^2+k) = 2$ by direct proof

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#gcd-and-lcm
86
Views

LCM of 3 numbers is given then what can't GCD be

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

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