Find the HCF of 513, 1134 and 1215.

Correct option is C

Given:

We are tasked with finding the HCF (Highest Common Factor) of the numbers 513, 1134, and 1215 using the factor method.

Concept Used:

The HCF is the product of the common prime factors with the lowest powers in the factorization of the given numbers.

Solution:

the prime factorization of each number.

$$513 = 3^3 \times 19 \\\ \\1134 = 2 \times 3^3 \times 7 \\\ \\1215 = 3^5 \times 5$$​

The common factors with the lowest powers.
The common factor among the three numbers is 3, and the lowest power of 3 is 3.
So, HCF  = $$3^3 = 27$$​