Question

Write a pair of co-prime numbers and find their H.C.F. What do you observe?

Answer 1

Co-prime Numbers are those numbers which have only one common factor.

Let us consider a pair of numbers i.e., $5$ and $6$.

Now if we prime factorise $5$ and $6$ we get,

$5=1\times 5$

$6=1\times 2\times 3$

From the prime factorisation of $5$ and $6$ we see that they have only one factor in common i.e., $1$.

Thus we can say that $5$ and $6$ have H.C.F equal to $1$. Such a pair of numbers is called Co-prime Numbers.

Hence, we observed that if we write a co-prime number and take its H.C.F, it is always equal to $1$.