Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

Updated on May 31, 2025 | By Learnzy Admin

To solve this problem, we need to find the greatest common divisor (GCD) of the three given quantities: 403 litres, 434 litres, and 465 litres.

The GCD will be the maximum capacity of a container that can measure all three amounts an exact number of times.

Find the GCD of 403, 434, and 465

Step 1:   GCD of 403 and 434
                 Use the Euclidean algorithm:
                 434 ÷ 403 = 1 remainder 31
                 403 ÷ 31 = 13 remainder 0

                 So, GCD(403, 434) = 31

Step2:   Now, GCD 31 and 465
                465 ÷ 31 = 15 remainder 0

                 So, GCD(31, 465) = 31

Hence the maximum capacity of the container that can measure all three diesel quantities exactly is 31 litres.

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