Three tanks contain 425 litres, 475 litres and 400 litres of milk respectively. Find the maximum capacity of container that can measure the milk in these tanks the exact number of times.
Answers
Answer:
Step-by-step explanation:
Amount of diesel present in the first tank = 403 litres
Amount of diesel present in the second tank = 434 litres
Amount of diesel present in the third tank = 465 litres
To measure the three tankers, we need to find the container’s maximum measuring capacity. We need to find the HCF because the measuring capacity is smaller than 403 litres, 434 litres and 465 litres.
The Highest Common Factor or HCF is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.
The maximum capacity of container = H.C.F. of (403, 434, 465)
Let us find the prime factorization of 403, 434 and 465.
⇒ Factors of 403 = 13 x 31
⇒ Factors of 434 = 2 x 7 x 31
⇒ Factors of 465 = 3 x 5 x 31
∴ H.C.F of (403, 434, 465) = 31
Therefore, 31 litres of the container is required to measure the quantity. i. e. The maximum measuring capacity is 31 litres.
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