NCERT Class 10 Solutions: Real Numbers (Chapter 1) Exercise 1.2 –Part 2

Q-2 Find the LCM and HCF of the following pairs of integers and verify that Equation

  1. 26 and 91

  2. 510 and 92

  3. 336 and 54

Solution:

  1. 26 and 91

    Equation (Expressing as product of prime factors)

    Equation (Expressing as product of prime factors)

    Therefore Equation

    And Equation

    Verification:

    Equation

    Equation

    Therefore, it is proved that Equation

  2. 510 and 92

    Equation

    Equation

    Equation

    Therefore Equation (Equation A)

    Equation

    Equation

    Therefore Equation (Equation B)

    From equation A and B

    Equation

    Equation

    Verification:

    Equation

    Equation

    Therefore, it is proved that Equation

  3. 336 and 54

    Equation

    Equation

    Equation

    Equation

    Equation

    Therefore Equation (Equation A)

    Equation

    Equation

    Equation

    Therefore Equation (Equation B)

    From equation A and B

    Equation

    Equation

    Verification:

    Equation

    Equation

    Therefore, it is proved that Equation

Q-3 Find the LCM and HCF of the following integers by applying the prime factorization method.

  1. 12, 15 and 21

  2. 17, 23 and 29

  3. 8, 9 and 25

Solution:

Given the how to find the LCM and HCF all numbers

Find the LCM and HCF All Numbers

Given the how to find the LCM and HCF all numbers

  1. 12, 15 and 21

    Equation

    Equation

    Equation

    From the above, Equation

    And Equation

  2. 17, 23 and 29

    Equation

    Equation

    Equation

    From the above, Equation

    And Equation

  3. 8, 9 and 25

    Equation

    Equation

    Equation

    From the above, Equation

    And Equation

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