Question

what is the capacity of the largest vessel which can empty oil from to vessels containing 56 liters and 64 liters an exact number of times?

Answer 1

to find the capacity of vessel we have to fin HCF of 56 & 64
[we can do this either by euclids devision lemma or by prime factorization]
64=56×1+8
56=7×8+0
therefore ,HCF=8
so capacity of vessel=8litres

Answer 2

Answer:

8

Step-by-step explanation:

Given :Two vessels containing 56 liters and 64 liters

To Find : what is the capacity of the largest vessel which can empty oil from to vessels containing 56 liters and 64 liters an exact number of times?

Solution:

We are supposed to find the HCF of 56 and 64

2  |  56                      2  |  64

2  |  28                      2  |  32

2  |  14                       2  |   16

7  |   7                        2  |   8

   |   1                         2  |   4

                                 2  |   2

                                     |   1

$56 = 2\times 2 \times 2 \times 7$

$64 = 2\times 2 \times 2 \times 2\times 2 \times 2$

HCF = $2\times 2 \times 2$

HCF = 8

Hence the capacity of the largest vessel which can empty oil from to vessels containing 56 liters and 64 liters an exact number of times is 8