Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?

Op 1: 1 litre
Op 2: 7 litre
Op 3: 31 litre
Op 4: 41 litre

Solution:


Option: 3

Biggest measure means we need to find the highest common factor for the three quantities

403  ) 713 (1
          403
        ---------
          310  ) 403 (1
                    310
                ----------
                     93 ) 310 (3
                            279
                         --------
                            31 ) 93 (3
                                   93
                                 -------
                                     0

HCF of 496,403 and 713 is 31

Answer is 31