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

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

  1. 26 and 91

  2. 510 and 92

  3. 336 and 54

Solution:

  1. 26 and 91

    (Expressing as product of prime factors)

    (Expressing as product of prime factors)

    Therefore

    And

    Verification:

    Therefore, it is proved that

  2. 510 and 92

    Therefore (Equation A)

    Therefore (Equation B)

    From equation A and B

    Verification:

    Therefore, it is proved that

  3. 336 and 54

    Therefore (Equation A)

    Therefore (Equation B)

    From equation A and B

    Verification:

    Therefore, it is proved that

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

    From the above,

    And

  2. 17, 23 and 29

    From the above,

    And

  3. 8, 9 and 25

    From the above,

    And

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