Question

is it possible to have a pair of numbers whose HCF is 12 and LCM is 220​

Answer 1

Answer:

Yes, it is possible to have two numbers whose H.C.F. is 12 and L.C.M. is 220.

As we know that,

L.C.M.×H.C.F.=Product of the two numbers

Therefore, Product of the numbers=12×220

Let the numbers be x and y.

So,

xy=2640

Therefore,we can take any two integer numbers whose product is 2640.

{x,y}={(1,2460),(2,1230),(4,615),(12,205),(60,41),(41,60),(205,12),(615,4),(1230,2),(2460,1)}

Hope, you got your answer.

Answer 2

Yes, it is possible to have two numbers whose H.C.F. is 12 and L.C.M. is 220.

As we know that,

L.C.M.×H.C.F.=Product of the two numbers

Therefore, Product of the numbers=12×220

Let the numbers be x and y.

So,

xy=2640

Therefore,we can take any two integer numbers whose product is 2640.

{x,y}={(1,2460),(2,1230),(4,615),(12,205),(60,41),(41,60),(205,12),(615,4),(1230,2),(2460,1)}

${\huge{\boxed{\mathbb{\purple{Stay \: strong}}}}}$