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If a and b are positive integers, then what is the value of (a / HCF (a,b) , b/HCF (a,b) )?

Aptitude Problems on H.C.F and L.C.M
Choose an option
  • A
    a
  • B
    b
  • C
    1
  • D
    a/HCF (a,b)

Answer

Correct Answer: 1

Explanation

HCF (a /HCF (a, b) , b/HCF (a,b) it value is always equal to 1;IIIustration 1 Let the two positive integers be a = 24 and b = 36. ∴ HCF (24/HCF (24,36) , 36/HCF (24,36) ⇒ HCF (24/12 , 36/12) ⇒ HCF (2, 3) = 1IIIustration 2 Let the two positive integers be a = 13 and b = 17 ∴ HCF (13 / HCF (13,17) , 17/HCF (13,17) ⇒ HCF (13/1 , 17/1) = 1

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