737/385 Simplified

Learn how to find what is 737/385 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 737/385 in simplest form.

To reduce 737/385 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 737/385 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 737 and 385 is 11. Dividing both the numerator and denominator by GCF, the fraction 737/385 becomes 67/35 which is the simplest form.

737/385 Simplified as a Fraction
Using Factorization:
737/385 = (?)
737/385 = (11 x 67)/(5 x 7 x 11)      write 737/385 in terms of factors
= 67/35
737/385 = 67/35
737/385 simplified is 67/35

Using GCF
737/385 = (?)
GCF of 737 and 385 is 11.
737/385 = (737/11)/(385/11)
= 67/35
737/385 = 67/35
737/385 simplified is 67/35 in fraction form
where,
737/385 is the given fraction to be simplified,
67/35 is the lowest term of 737/385.

Notes: 737/385 simplified in lowest terms
1. 737/385 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 737 and 385 is 11 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 737/385 can be represented in its reduced form.
2. On the other hand, you can also reduce 737/385 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 737/385 becomes (11 x 67)/(5 x 7 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 737/385 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 737/385

what to be found:
737/385 = ?
Reduce 737/385 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 737/385.
Prime factors of 737 = 11 x 67

step 3 Find the prime factors of the denominator of given fraction 737/385.
Prime factors of 385 = 5 x 7 x 11

step 4 Rewrite the fraction 737/385 in the form of prime factors as like the below:
737/385= (11 x 67) / (5 x 7 x 11)

step 5 Check and reduce the factors of 737 and 385 if any factors in the numerator and denominator cancel each other:
= (11 x 67) / (5 x 7 x 11)
= ( 67)/(5 x 7 )
737/385 = 67/35
Hence,
737/385 in simplest form is 67/35.

737/385 simplified is 67/35, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 737/385 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 737/385 in its lowest terms.