A milk seller has three types 403, 465 and 496 gallon of milk.  Find the minimum number of bottles which can measure the whole quantity of milk without mixing them?

44

Quantity of milk in one bottle = HCF of 403, 465, 496

Quantity of milk in one bottle = 31

Number of bottles = \(\frac{Total\;quantity\;of\;milk}{Quantity\;of\;milk\;in\;one\;bottle}\)

                           = \(\frac{403}{31}\) + \(\frac{465}{31}\) + \(\frac{496}{31}\)

                           =  13 + 15 + 16 = 44