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Home » The greatest common divisor is $ \boxed72 $. - Red Crowns

The greatest common divisor is $ \boxed72 $. - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \text{lcm}(7, 11) = 7 \cdot 11 = 77

📌 Thus, $ n - 1 = 77k $ for some integer $ k $, and:

📌 n = 77k + 1

📌 We are to find the smallest such $ n > 50 $. Try $ k = 1 $:

📌 n = 77 \cdot 1 + 1 = 78

📌 Since $ 78 > 50 $, this is valid.

📌 Therefore, the smallest clutch size greater than 50 that satisfies the conditions is:

📌 \boxed{78}

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