Example 12 Two tankers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times.
Given,
Two tankers of kerosene oil is 850 litres & 680 litres
We need to find,
Maximum measuring capacity of container to measure both tankers
Since measuring capacity = HCF of 850 & 680
We will find HCF
Maximum measuring capacity = HCF of 850 & 680
HCF of 680 & 850
Hence
680 = 2 × 2 × 2 × 5 × 17
850 = 2 × 5 × 5 × 17
∴ HCF = 2 × 5 × 17 = 170
So, Maximum measuring capacity = 170 litres
To fill 850 litres,
To fill 680 litres,

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.