Given that $x$ is a multiple of $15336$, what is the greatest common divisor of $f(x)=(3x+4)(7x+1)(13x+6)(2x+9)$ and $x$?

Question

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2107

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Given that x is a multiple of 15336, what is the greatest common divisor of f(x)=(3x+4)(7x+1)(13x+6)(2x+9) and x?

Please help quickly!

Thanks, MC

MathCuber Oct 27, 2018

Guest · Answer 1 · 2018-10-28T05:47:10

If I understand your question, no matter what the value of x is, f(x) mod 15336 =216. So, the Greatest Common Divisor(GCD) = 216.