# What is The HCF of 513, 1134, and 1215?

Greatest Common Factor of three numbers is the largest number that divides the three numbers exactly leaving the remainder 0

## Answer: HCF of 513, 1134, and 1215 is 27

## Explanation:

We can find the HCF by any of the following two methods.

- Listing the common factors method
- Prime factorization Method

### HCF of 513, 1134, and 1215 by Listing the Common Factors

The factors of 513, 1134, and 1215 are shown below.

The common factors of 513, 1134, and 1215 are 1, 3, 9, and 27

Clearly, the highest common factor is 27

So, HCF of 513, 1134, and 1215 is 27

### HCF of 513, 1134, and 1215 by Prime Factorization

We will represent 513, 1134, and 1215 as a product of their prime factors.

Prime factorization of 513 is 3 × 3 × 3 × 19

Prime factorization of 1134 is 2 × 3 × 3 × 3 × 3 × 7

Prime factorization of 1215 is 3 × 3 × 3 × 3 × 3 × 5

Common prime factors = 3 × 3 × 3

HCF is the product of the prime factors that are common to each of the given numbers.

HCF of 513, 1134, and 1215 is 27

Irrespective of the method, the solution to our question HCF of 513, 1134, and 1215 is the same.