Question

The H.C.F. of two numbers is 2 and their L.C.M. is 28. If one of the numbers is 14, find the other number.
(1) 2
(2) 4
(3) 6
(4) 8

Answer 1

other number (b)=(lcm×hcf)/a
=(2×28)/14
=56/14
=4

Answer 2

let the two numbers be A, b

A=14

L.C.M*H.C.F=A*B

28*2=14*b

28*2/14=b

56/14=b

b=4