Question

How to calculate hcf of 17 and 18

Answer 1

Answer:

it is so easy as we can able to find out by getting the prime factorization of 17 and 18 the prime factorization of 17 is 1 and 17 and the prime factorization of 18 is 3 and 3 and tw0 so bye seeing that one is common in both so 1 is the the HCF of of 17 and 18

Answer 2

The HCF of 17 and 18 is 1.

Given:

Two numbers 17 and 18.

To Find:

The HCF of 17 and 18.

Solution:

To solve this problem, we will make use of the following concepts:

The HCF or highest common factor of two numbers is the product of the common factors of two numbers.

We also know that a prime number is a number that has only two factors, 1 and the number itself.

We observe that 17 is a prime number. So,

17 = 1 x 17.

The prime factorization of 18 is:

18 = 2 x 3 x 3².

17, being a prime number, has only 1 as the common factor in 18.

∴ HCF (17,18) = 18

Hence, the HCF of 17 and 18 is 1.

#SPJ3