Question

If the HCF of 657 and 963 is expressible in the form of 657x+963*(-15), find the value of x

Answer 1

H.C.F of 657 and 963=9,

but according to the question H.C.F is in the form of 657x+963×(-15),

then

657x+963×(-15)=9,

657x-14446=9,

657x=9+14445,

657x=14454,

then

x=14454/657,

x=22