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# 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.

**Explanation:**

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.

### Thus, the capacity of a container that can measure the diesel of three containers exact number of times is 31 liters

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