In order to simplify our fraction we can start dividing both the numerator [30] and denominator [72] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

The first way to simplify the fraction 30/72 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [72].

Another method to reduce the fraction 30/72 to its simplest form is to use the Prime Factors of numerator [30] and denominator [72].