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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) )?
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- a
- b
- 1
- a/HCF (a,b)
Correct Option: C
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) = 1
IIIustration 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
