Let $S=\{1,2,3, \ldots, 2022\}$. Then the probability, that a randomly chosen number $n$ from the set $S$ such that $\operatorname{HCF}( n , 2022)=1$, is.

  • [JEE MAIN 2022]
  • A

    $\frac{128}{1011}$

  • B

    $\frac{166}{1011}$

  • C

    $\frac{127}{337}$

  • D

    $\frac{112}{337}$

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