Question

if the HCF and LCM of 48 and 56 are respectively h and I, then the value of 
$\frac{i}{h}$

is

Answer 1

Finding the hcf of 48 and 56 :

Finding factors of 48 and 56 -

48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48

56 = 2 , 4 , 7 , 8 , 14 , 28 ,  56

Common factors of 48 and 56 are 2 , 4 , and 8

HCF of 48 and 56 = 8.

Finding the lcm of 48 and 56 :

lcm of 48 and 56 = 2 x 2 x 2 x 2 x 3 x 7

lcm of 48 and 56 = x 3 x 7

lcm of 48 and 56 = 336

H = 8 , L = 336

Finding the vale of

$\dfrac{l}{h} = \dfrac{336}{8} = 42$


Hence : Required answer is 42