MathematicsThe HCF and LCM of 612 and 1314 by prime factorization method are:

The HCF and LCM of 612 and 1314 by prime factorization method are:


  1. A
    18 and 44676
  2. B
    9 and 612
  3. C
    36 and 73
  4. D
    18 and 73 

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    Solution:

    It is given that the numbers are 612 and 1314.
    Prime factorization of the numbers:
    HCF = Product of common factors of both the numbers
    ⇒ HCF =233
    ⇒ HCF = 18
    LCM = Product of the prime factors with the greatest powers involved in the numbers.
    ⇒ LCM = 22331773
    ⇒ LCM = 44676
    Hence, HCF and LCM of 612 and 1314 are 18 and 44676 respectively.
    Hence, the correct option is 1.
     
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