The sum of all the elements in the set $\{\mathrm{n} \in\{1,2, \ldots \ldots ., 100\} \mid$ $H.C.F.$ of $n$ and $2040$ is $1\,\}$ is equal to $.....$

  • [JEE MAIN 2021]
  • A

    $1251$

  • B

    $1300$

  • C

    $1456$

  • D

    $1371$

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  • [JEE MAIN 2024]