three tanks are capable of holding 36, 84, and 90 litres of milk . determine the capacity of the greatest vessel which can be used to fill each one of them on exact number of times
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Answer:
6 liter vessel
Step-by-step explanation:
Find the greatest common factor (GCF) of 36, 84, and 90 by finding the prime factorization of each to determine which prime factors they share.
Prime factorization of 36=2²×3²
Prime factorization of 84=2²×3×7
Prime factorization of 90=2×3²×5
They have the prime factors 2 and 3 in common. Multiply them to find the GCF:
GCF=2×3
GCF=6
Therefore, a 6 liter vessel is the capacity of the greatest vessel which can be used to fill each an exact number of times.
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