Question

Find the GCF of the numbers.$27,45,90$

Short answer

The GCF of the number is 9.

Step-by-step solution

Step -1 - Apply the concept of   GCF and relatively Prime

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them.

Step -2 – Find the common factors

Here, the numbers are 27,45,90.

First finding the factors of numbers.

The factor of 27 is 27=3times 3times 3

The factor of 45 is 45=3times 3times 5

The factor of 90 is 90=2 times 5 times 3 times 3

Step -3 – Finding the GCF and know whether it is relatively prime or not

Now, the common factor among the numbers are $3\times 3$.

So, the greatest common factor is 9 .