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Home » Now substitute \( h = \frac2711 \) back into \( k = 2h - 4 \): - Groen Casting

Now substitute \( h = \frac2711 \) back into \( k = 2h - 4 \): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\gcd(2^{12} - 1, 2^{18} - 1) = 2^6 - 1 = 64 - 1 = 63
Therefore, the greatest common divisor is $ \boxed{63} $.
Question: What is the largest integer that must divide the product of...
Solution: Let the four consecutive integers be $ n, n+1, n+2, n+3 $.
Among any four consecutive integers:
There are at least two even numbers, and one of them is divisible by 4...
There is exactly one multiple of 4 and another even, so $ 8 \mid $ pro...
There is at least one multiple of 3 → $ 3 \mid $ product
There is no guaranteed factor of 5 or higher
So the product is always divisible by $ 8 \cdot 3 = 24 $. But can we d...

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