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Question

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


Solution

The maximum capacity of three containers is equal to the HCF of 403, 434 and 465.
403 = 1 × 13 × 31 = 131 × 311
434 = 1 × 2 × 7 × 31 = 21 × 71 × 311
465 = 1 × 3 × 5 × 31 = 31 × 51 × 311
HCF of 403, 434 and 465 = 311 = 31
Hence, the maximum capacity of a container that can measure the diesel of three containers exact number of times is 31 litres

Mathematics
RD Sharma (2020, 2021)
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