Answer:

To find the maximum capacity of a container that can measure the diesel from both tankers in exact numbers of times, we need to find the greatest common divisor (GCD) of the volumes of the two tankers.

Given:

Tanker 1 volume = 620 litres

Tanker 2 volume = 840 litres

To find the GCD, we can use the Euclidean algorithm.

Step 1: Divide the larger volume by the smaller volume.

840 ÷ 620 = 1 remainder 220

Step 2: Divide the previous divisor (620) by the remainder (220).

620 ÷ 220 = 2 remainder 180

Step 3: Divide the previous divisor (220) by the remainder (180).

220 ÷ 180 = 1 remainder 40

Step 4: Divide the previous divisor (180) by the remainder (40).

180 ÷ 40 = 4 remainder 20

Step 5: Divide the previous divisor (40) by the remainder (20).

40 ÷ 20 = 2 remainder 0

Since we have reached a remainder of 0, the last non-zero remainder (20) is the GCD of 620 and 840.

Therefore, the maximum capacity of a container that can measure the diesel from both tankers in exact numbers of times is 20 litres.