Question

three tanks are capable of holding 108litres, 168litres and 180litres of milk. determine the capacity of the greatest vessel which can be used to fill each one of them on exact number of times

Answer 1

Answer:

12 liter vessel

Step-by-step explanation:

Find the greatest common factor (GCF) of 108, 168, and 180 by finding the prime factorization of each number and seeing which prime factors each number has in common.

Prime factorization of 108: 2²×3³

Prime factorization of 168: 2³×3×7

Prime factorization of 180: 2³×3²×5

The common factors each has in common are 2² and 3. Multiply 2² by 3 to find the greatest common factor:

2²×3=12

Thus, 12 liters is the greatest capacity of a vessel that can fill each one of them an exact number of times.