Question

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 exactlythree 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

Answer 1

find the HCF

496=2×2×2×2×31

403=31×13

713=23×31

C.F=31

H.C.F = 31

answer is 31

Answer 2

Answer: 31 liters

Step-by-step explanation:

Given: Three different containers contain 496 liters, 403 liters and 713 liters of mixtures of milk and water respectively.

To find the biggest measure can measure all the different quantities exactly we find the HCF of 496, 403 and 413.

The prime factorization of the above numbers is written as:

$496=2\times2\times2\times2\times31\\403=31\times13\\713=23\times31$

We can see the HCF of 496, 403 and 413= 31

Thus, 31 liters is the biggest measure can measure all the different quantities exactly