Q. The LCM and the HCF of the numbers 28 and 42 are in the ratio ?

  • (A) 6 : 1
  • (B) 2 : 3
  • (C) 3 : 2
  • (D) 7 : 2
βœ… Correct Answer: (A) 6 : 1
Explanation: Numbers x = 28, y = 42
HCF (28 , 42)
Difference = 42 - 28 = 14
For HCF of any numbers take their difference. HCF will be either the factor of that difference or the difference itself.
Now, LCM of 28, 42
∴ 14 × 2 × 3 = 84
⇒ LCM : HCF
⇒ 84 : 14
⇒ 6 : 1
Explanation by: Mr. Dubey
Numbers x = 28, y = 42
HCF (28 , 42)
Difference = 42 - 28 = 14
For HCF of any numbers take their difference. HCF will be either the factor of that difference or the difference itself.
Now, LCM of 28, 42
∴ 14 × 2 × 3 = 84
⇒ LCM : HCF
⇒ 84 : 14
⇒ 6 : 1

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