LCM and HCF

LCM and HCF

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Aptitude miscellaneous
  1. The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is








  1. View Hint View Answer Discuss in Forum

    Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
    As We know that ,

    Second number =
    HCF × LCM
    First number

    Correct Option: A

    Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
    As We know that ,

    Second number =
    HCF × LCM
    First number

    Second number =
    18 × 378
    		 = 126
    54

  1. The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is








  1. View Hint View Answer Discuss in Forum

    Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
    We can find other number with the help of the given formula ,
    First number × second number = HCF × LCM
    ⇒ 52 × second number = 4 × 520

    Correct Option: A

    Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
    We can find other number with the help of the given formula ,
    First number × second number = HCF × LCM
    ⇒ 52 × second number = 4 × 520

    ⇒ Second number =
    4 × 520
    		 = 40
    52

  1. The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is :








  1. View Hint View Answer Discuss in Forum

    Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 75 × Second number = 15 × 225

    ∴ Second number =
    15 × 225
    75

    Correct Option: D

    Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 75 × Second number = 15 × 225

    ∴ Second number =
    15 × 225
    		 = 45
    75

  1. The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is








  1. View Hint View Answer Discuss in Forum

    Here , HCF = 15
    Let the number be 15p and 15q, where p and q are co – prime.
    With the help of the given formula ,
    HCF × LCM = Product of two numbers
    ∴ 15p × 15q = 6300

    ⇒ pq =
    6300
    		 = 28
    15 × 15

    Correct Option: C

    Here , HCF = 15
    Let the number be 15p and 15q, where p and q are co – prime.
    With the help of the given formula ,
    HCF × LCM = Product of two numbers
    ∴ 15p × 15q = 6300

    ⇒ pq =
    6300
    		 = 28
    15 × 15

    So, two pairs are ( 7 , 4 ) and ( 14 , 2 ) .
    Hence , required answer is 2.

  1. The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is








  1. View Hint View Answer Discuss in Forum

    Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 864 × Second number = 96 × 1296

    Correct Option: D

    Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 864 × Second number = 96 × 1296

    ⇒ Second number =
    96 × 1296
    		 = 144
    864