Home
Class 14
MATHS
Find the sum of all the co-prime numbers...

Find the sum of all the co-prime numbers of 336.

Text Solution

Verified by Experts

`336 = 2^4xx3xx7` number of coprime numbers of 336 is given by `336/2[varphi(336)] = 336/2(1-1/2)(1-1/3)(1-1/7) = 16128`
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

Find the sum of all the prime numbers between 10 and 20 and check whether that sum is divisible by all the single digit numbers.

Find the sum of all the prime numbers between 1 and 20.

Find the sum of all the co-primes of 72, which are less than 72.

Find the sum of all prime numbers less than 20.

Find the sum of all prime numbers less than 20.

Find the sum oif 1st and 2nd prime numbers.

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Find the number of co-prime numbers of 49, which are composite numbers...

    Text Solution

    |

  2. Find the sum of all the co-prime numbers of 10.

    Text Solution

    |

  3. Find the sum of all the co-prime numbers of 336.

    Text Solution

    |

  4. Find the number of co-prime numbers of 49, which are composite numbers...

    Text Solution

    |

  5. Find the number of ways of expressing 10 as a product of co-prime fact...

    Text Solution

    |

  6. Find the number of ways of expressing 336 as a product of co-prime fac...

    Text Solution

    |

  7. Find the number of ways of expressing 49 as a product of co-prime fact...

    Text Solution

    |

  8. The number of prime factors in the expression 6^4 xx 8^6 xx 10^8 xx 12...

    Text Solution

    |

  9. A number is expressed as 2^mxx3^n and the sum of all its factors is 12...

    Text Solution

    |

  10. The sum of all possible factors of 500 (incliding 1 and 500 themselv...

    Text Solution

    |

  11. The perimeter of a rectangle is 72 cm. If the sides are positive integ...

    Text Solution

    |

  12. The perimeter of a rectangle is 72 cm. If the sides are positive integ...

    Text Solution

    |

  13. Among the first 100 even natural numbers haw many numbers have even nu...

    Text Solution

    |

  14. In a set of first 350 natural numbers find the number of integers, whi...

    Text Solution

    |

  15. In a set of first 350 natural numbers find the number of integers, whi...

    Text Solution

    |

  16. In a set of first 350 natural numbers find the number of integers, whi...

    Text Solution

    |

  17. In a set of first 350 natural numbers find the number of integers, whi...

    Text Solution

    |

  18. In a set of first 350 natural numbers find the number of integers, whi...

    Text Solution

    |

  19. In a set of first 61 natural numbers find the number of integers, whic...

    Text Solution

    |

  20. In a set of first 123 natural numbers find the number of integers, whi...

    Text Solution

    |