Standing waves and frequency

AI Thread Summary
The discussion revolves around determining the largest possible fundamental frequency of a string fixed at both ends, given its standing-wave resonances at 325Hz and 390Hz. Participants highlight that the fundamental frequency must be an integer multiple of the resonant frequencies. The largest integer that divides both 325 and 390 is identified as 65Hz. This means that 65Hz is the largest possible value for the fundamental frequency of the string. The conversation emphasizes the importance of finding the greatest common divisor in solving such frequency problems.
bigsaucy
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1.) A string, stretched between two fixed posts, forms standing-wave resonances at 325Hz and 390Hz. What is the largest possible value of its fundamental frequency?

I have no idea on how to solve this problem, any assistance would be greatly appreciated.
 
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Any frequency must be an integer multiple of the fundamental frequency. What is the largest integer that divides both 325 and 390?
 
would it be 65Hz?
 

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