72/100 Simplified in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 72/100. The fraction 72/100 simplified can be found by using anyone of the below two methods:
1. Prime factorization method,             
2. GCF method.

Prime Factorization Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/100

what to be found:
72/100 = ?
Find what is the lowest term of 72/100.

step 2 Find the prime factors of the numerator of given fraction 72/100.
Prime factors of 72 = 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 72/100.
Prime factors of 100 = 2 x 2 x 5 x 5

step 4 Rewrite the fraction 72/100 in the form of prime factors as like the below:
72/100= (2 x 2 x 2 x 3 x 3) / (2 x 2 x 5 x 5)

step 5 Check and cancel the factors of 72 and 100 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 2 x 2 x 3 x 3) / (2 x 2 x 5 x 5)
= ( 2 x 3 x 3)/( 5 x 5)

step 6 Simplify and rewrite the fraction as like the below:
= 18/25
72/100 = 18/25
Hence,
the simplest form of 72/100 is 18/25.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/100

what to be found:
72/100 = ?
Find what is the lowest term of 72/100.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 72/100.
The GCF of 72 and 100 is 4.

step 3 Divide the numerator and denominator of the fraction 72/100 by GCF 4:
= (72/4)(100/4)

step 4 Simplify the above expression:
= (72/4)(100/4)
= 18/25
72/100 = 18/25

Hence,
18/25 is the simplified or lowest term of 72/100.