There are three tankers containing 294 L. 252 L. 210 L of petrol respectively Find
the maximum capacity of a container which can measure the petrol of all the three
tankers when used an exact number of times
Answers
Answer- The above question is from the chapter 'Real Numbers'.
The question is an applicative one.
Given question: There are three tankers containing 294 L , 252 L and 210 L of petrol respectively. Find the maximum capacity of a container which can measure the petrol of all the three tankers when used an exact number of times.
Solution: A person has 3 different quantities of petrol i.e. 294 litres, 252 litres and 210 litres.
He wants to put them in a container which can measure the greatest capacity of petrol.
Clearly, the container should hold even the least quantity of petrol available.
HCF(294, 252, 210) = Greatest capacity of container to hold 3 quantities of petrol.
← H.C.F. 294, 252, 210
Thus, we will find the HCF of 294, 252 and 210 by prime factorisation method.
294 = 2 x 3 x 7 x 7 = 2 × 3 × 7²
252 = 2 x 2 x 3 x 3 x 7 = 2² × 3² × 7
210 = 2 x 3 x 5 x 7
HCF(294, 252, 210) = 2 × 3 × 7 = 42 litres