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three tankers contain 403 litres 434 …

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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
  • 1 answers

Sia ? 6 years, 1 month ago

Factors of 403 are 1, 13, 31 and 403.
Factors of 434 are 1, 2, 7, 14, 31, 62, 217 and 434.
Factors of 465 are 1, 3, 5, 15, 31, 93, 155 and 465.
Common factors of 403, 434 and 465 are 1 and 31.
Highest of these common factors is 31.
∴ H.C.F of 403, 434 and 465 is 31.
Hence, the maximum capacity of the container that can measure the diesel of the three containers exact number of times is 31 litres.

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