Question

find the hcf =three different containers contains 403 L ,434 L and 465 L of milk respectively . Find the capacity of containers which can measure the milk of all the containers in an exact number of times

Answer 1

We need to find H.C.F of 403, 434 and 465 to find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.



Let's find the prime factors of 403, 434 and 465.



403=13×31


434=2×7×31


465=3×5×31


31 is the only common prime factor of 403, 434 and 465. Therefore, 31 is the H.C.F of 403, 434 and 465.





Therefore, 31 litres is the maximum capacity of a container that can measure the diesel of the three containers exact number of times