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Home » Höhe = Leiterlänge * sin(Winkel) = 10 * 0,866 = 8,66 Meter - Ready Digital AB

Höhe = Leiterlänge * sin(Winkel) = 10 * 0,866 = 8,66 Meter - Ready Digital AB

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Try the next largest divisor: $1012 = 2024/2$. Can we have $a = 1012$, $b = 1012$? Then $a + b = 2024$, both even, and $\gcd(1012,1012) = 1012$.

📌 So $d = 1012$ is achievable.

📌 Now verify if a larger $d$ is possible: no divisor of $2024$ larger than $1012$ divides $2024$ and allows both $a$ and $b$ positive and even.

📌 Hence, the maximum $\gcd$ is $1012$.

📌 Therefore, the largest possible value is $oxed{1012}$.

📌 Question: How many of the 100 smallest positive integers are congruent to $3 \pmod{7}$?

📌 Solution: We seek the number of positive integers $n \leq 100$ such that $n \equiv 3 \pmod{7}$.

📌 Such numbers form an arithmetic sequence: $3, 10, 17, \dots$, with first term $a = 3$, common difference $d = 7$.

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