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Home » \[ A = \frac12ab \] - Feedz API

\[ A = \frac12ab \] - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 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 $d = 7$.

📌 The general term is:

📌 n_k = 3 + (k-1)\cdot 7 = 7k - 4.

📌 We require $n_k \leq 100$:

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