Question

An ambulance require diesel as fuel because of so many trips nearby pump purchase diesel in bulk for the ambulance there are three containers at the pump which contain 433 L 434 L and 465 L of diesel respectively the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is

Answer 1

Answer:

31 L

Step-by-step explanation:

Here is the complete question

An ambulance require diesel as fuel because of so many trips nearby pump purchase diesel in bulk for the ambulance there are three containers at the pump which contain 403 L 434 L and 465 L of diesel respectively the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is

Solution

To find the exact number of times in which we can measure the diesel in the three containers, since the capacity of each container is 403 L, 434 L and 465 L respectively, we find the prime factors of each number.

The prime factors of 403 = 13 × 31

The prime factors of 434 = 2 × 7 × 31

The prime factors of 465 = 3 × 5 × 31

The measuring capacity equals the highest common factor (H.C.F) of the three numbers. That is H.C.F of 403, 434, 465.

Since it can be seen  here that the H.C.F is 31, then the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is 31 L