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Home » Finding a common denominator, we get \(\frac2d120 + \frac3d120 = 5\). - Portal da AcÃºstica

Finding a common denominator, we get \(\frac2d120 + \frac3d120 = 5\). - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( a=2, b=1 \): 45

📌 + 3 + 9 + 5 + 15 + 45 = 78

📌 Thus, the sum of all odd divisors of 180 is \(\boxed{78}\).

📌 Question:** A philosopher of science reflects on the elegance of symmetry and periodicity, drawing parallels to number theoretic identities. What is the greatest common divisor of $2^{10} - 1$ and $2^{15} - 1$?

📌 Here, \( a = 10 \), \( b = 15 \), so:

📌 \gcd(10, 15) = 5

📌 \gcd(2^{10} - 1, 2^{15} - 1) = 2^5 - 1 = 32 - 1 = 31

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