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