Question

Find the LCM and HCF of 72 and 108.

Answer 1

72=2*2*2*3*3
108=2*2*3*3*3
the HCF is the common part between the two numbers which is 2*2*3*3 which is equal to 36
The product of two numbers=The product of LCM and HCF of two numbers
i.e 72*108=LCM(HCF)
HCF=7776*36=216

Answer 2

Solution:-

H.C.F of 72 and 216 
  
2|72, 108
  |_________
2| 36, 54
  |_________  
3| 18, 27
  |_________
3|  6.  9
  |_________
  |  2,  3 
  |_________
   
  H.C.F. of 72 and 108 = 2*2*3*3
= 36

L.C.M. of 72 and 108
   
  2|72, 108
    |_______
  2|36,  54
    |_______
  2|18, 27 
    |_______
  3| 9,  27
    |_______
  3| 3,   9
    |_______
  3| 1,   3
    |_______
    | 1,   1

L.C.M. of 72 and 108 = 2*2*2*3*3*3
= 216 

So, H.C.F. of 72 and 108 is 36 and L.C.M of 72 and 108 is 216 
Answer