Three tankers contain 403 liters, 434 liters, and 465 liters of diesel respectively. Find the capacity of a container that can measure the diesel of three containers exact number of times.
The term capacity is used for measuring the volume of a liquid.
Answer: The capacity of a container that can measure the diesel of three containers exact number of times is 31 liters
The amount of liquid that any container can hold is called it's capacity.
To Find: Maximum measuring capacity of the container that can measure the diesel of the three tankers
Maximum measuring capacity = HCF of the three containers = HCF(403,434,465)
HCF (Highest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
We can find the HCF using Prime Factorization
HCF of 403,434 and 465 by Prime Factorization
Let us represent 403,434 and 465 as a product of its prime numbers
403 = 13 × 31
434 = 2 × 7 × 31
465 = 3 × 5 × 31
The only common factor among them is 31. Which is also its HCF.
Therefore, the maximum measuring capacity of the container is 31 liters.