Question

The HCF of the co-prime number is always:

Answer 1

Find the HCF of co-prime numbers

Factor- In mathematics, a number divides precisely that number and leaves no remainder is called a factor of the respective number.

Co-prime numbers- Co-prime numbers are sometimes known as "roughly prime numbers" or "mutually prime numbers." If the only common factor of two numbers, $a$ and $b$, is $1$, then $a$ and $b$ are co-prime numbers.

For example: Assume two prime numbers $2,3$.

By factorization,

$$\begin{gathered} 2=1\times 2 \\ 3=1\times 3 \end{gathered}$$

Here the common factor of $2$ and $3$ will be $1$. So, the HCF of $2,3$ will be $1$.

Hence $2$ and $3$ are co-prime numbers as well.

Hence, the HCF of two co-prime numbers is always $1$.