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2024 DMC Mock 10 Problems/Problem 4

Revision as of 20:57, 16 September 2024 by Pateywatey (talk | contribs) (Created page with "<math>n</math> must divide both <math>47-32=15</math> and <math>77-45=30</math> because <math>32\equiv47\equiv77 (\mod n)</math>. <math>\gcd(15,30)=\boxed{15}</math>.")
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$n$ must divide both $47-32=15$ and $77-45=30$ because $32\equiv47\equiv77 (\mod n)$. $\gcd(15,30)=\boxed{15}$.

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