7/49 Simplified in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 7/49. The fraction 7/49 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 = 7/49

what to be found:
7/49 = ?
Find what is the lowest term of 7/49.

step 2 Find the prime factors of the numerator of given fraction 7/49.
Prime factors of 7 = 7

step 3 Find the prime factors of the denominator of given fraction 7/49.
Prime factors of 49 = 7 x 7

step 4 Rewrite the fraction 7/49 in the form of prime factors as like the below:
7/49= (7) / (7 x 7)

step 5 Check and cancel the factors of 7 and 49 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (7) / (7 x 7)
= (1)/( 7)

step 6 Simplify and rewrite the fraction as like the below:
= 1/7
7/49 = 1/7
Hence,
the simplest form of 7/49 is 1/7.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 7/49

what to be found:
7/49 = ?
Find what is the lowest term of 7/49.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 7/49.
The GCF of 7 and 49 is 7.

step 3 Divide the numerator and denominator of the fraction 7/49 by GCF 7:
= (7/7)(49/7)

step 4 Simplify the above expression:
= (7/7)(49/7)
= 1/7
7/49 = 1/7

Hence,
1/7 is the simplified or lowest term of 7/49.