If the sum of two numbers is 84 and their Highest Common Factor (HCF) and Least Common Multiple (LCM) are 3 and 124 respectively, then what will be the sum of the reciprocals of the two numbers?
1
\(\frac{9}{31}\)
2
\(\frac{7}{31}\)
3
\(\frac{11}{31}\)
4
\(\frac{8}{31}\)