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Home » Malik monk’s hidden stats: What no fan knows—here’s the dust that blew! - Crosslake

Malik monk’s hidden stats: What no fan knows—here’s the dust that blew! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Therefore, the remainder is $oxed{0}$.

📌 Question: What is the largest possible value of $\gcd(a,b)$ if the sum of two positive integers $a$ and $b$ is $2024$ and both are even?

📌 Solution: Let $a + b = 2024$, and suppose $d = \gcd(a,b)$. Since $d \mid a$ and $d \mid b$, then $d \mid (a + b) = 2024$. So $d$ is a divisor of $2024$.

📌 Additionally, since both $a$ and $b$ are even, $d$ must be even (because any common divisor of two even numbers is even).

📌 To maximize $d$, we take the largest even divisor of $2024$ such that $a$ and $b$ are positive integers.

📌 Factor $2024$:

📌 = 2^3 imes 11 imes 23.

📌 So the largest divisor is $2024$ itself, but for $d = 2024$, we would need $a = 2024$, $b = 0$, but $b$ must be positive â invalid.

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