752/978 Simplified

Learn how to find what is 752/978 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 752/978 in simplest form.

To reduce 752/978 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 752/978 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 752 and 978 is 2. Dividing both the numerator and denominator by GCF, the fraction 752/978 becomes 376/489 which is the simplest form.

752/978 Simplified as a Fraction
Using Factorization:
752/978 = (?)
752/978 = (2 x 2 x 2 x 2 x 47)/(2 x 3 x 163)      write 752/978 in terms of factors
= 376/489
752/978 = 376/489
752/978 simplified is 376/489

Using GCF
752/978 = (?)
GCF of 752 and 978 is 2.
752/978 = (752/2)/(978/2)
= 376/489
752/978 = 376/489
752/978 simplified is 376/489 in fraction form
where,
752/978 is the given fraction to be simplified,
376/489 is the lowest term of 752/978.

Notes: 752/978 simplified in lowest terms
1. 752/978 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 752 and 978 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 752/978 can be represented in its reduced form.
2. On the other hand, you can also reduce 752/978 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 752/978 becomes (2 x 2 x 2 x 2 x 47)/(2 x 3 x 163). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 752/978 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 752/978

what to be found:
752/978 = ?
Reduce 752/978 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 752/978.
Prime factors of 752 = 2 x 2 x 2 x 2 x 47

step 3 Find the prime factors of the denominator of given fraction 752/978.
Prime factors of 978 = 2 x 3 x 163

step 4 Rewrite the fraction 752/978 in the form of prime factors as like the below:
752/978= (2 x 2 x 2 x 2 x 47) / (2 x 3 x 163)

step 5 Check and reduce the factors of 752 and 978 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 47) / (2 x 3 x 163)
= ( 2 x 2 x 2 x 47)/( 3 x 163)
752/978 = 376/489
Hence,
752/978 in simplest form is 376/489.

752/978 simplified is 376/489, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 752/978 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 752/978 in its lowest terms.