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Home » Shocking Truth: Ground Beef Can Last 3+ Days in the Fridge—Here’s Why! - Abbey Badges

Shocking Truth: Ground Beef Can Last 3+ Days in the Fridge—Here’s Why! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Thus, the remainder is $1$.

📌 Therefore, the answer is $oxed{1}$.

📌 Question: What is the greatest common divisor of $3^{15} - 1$ and $3^9 - 1$?

📌 Solution: Use the property:

📌 \gcd(a^m - 1, a^n - 1) = a^{\gcd(m,n)} - 1, \quad ext{for } a > 1.

📌 \gcd(3^{15} - 1, 3^9 - 1) = 3^{\gcd(15,9)} - 1.

📌 Now compute $\gcd(15,9) = 3$.

📌 \gcd(3^{15} - 1, 3^9 - 1) = 3^3 - 1 = 27 - 1 = 26.

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