762/8 Simplified

Learn how to find what is 762/8 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 762/8 in simplest form.

To reduce 762/8 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 762/8 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 762 and 8 is 2. Dividing both the numerator and denominator by GCF, the fraction 762/8 becomes 381/4 which is the simplest form.

762/8 Simplified as a Fraction
Using Factorization:
762/8 = (?)
762/8 = (2 x 3 x 127)/(2 x 2 x 2)      write 762/8 in terms of factors
= 381/4
762/8 = 381/4
762/8 simplified is 381/4

Using GCF
762/8 = (?)
GCF of 762 and 8 is 2.
762/8 = (762/2)/(8/2)
= 381/4
762/8 = 381/4
762/8 simplified is 381/4 in fraction form
where,
762/8 is the given fraction to be simplified,
381/4 is the lowest term of 762/8.

Notes: 762/8 simplified in lowest terms
1. 762/8 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 762 and 8 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 762/8 can be represented in its reduced form.
2. On the other hand, you can also reduce 762/8 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 762/8 becomes (2 x 3 x 127)/(2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 762/8 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 762/8

what to be found:
762/8 = ?
Reduce 762/8 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 762/8.
Prime factors of 762 = 2 x 3 x 127

step 3 Find the prime factors of the denominator of given fraction 762/8.
Prime factors of 8 = 2 x 2 x 2

step 4 Rewrite the fraction 762/8 in the form of prime factors as like the below:
762/8= (2 x 3 x 127) / (2 x 2 x 2)

step 5 Check and reduce the factors of 762 and 8 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 127) / (2 x 2 x 2)
= ( 3 x 127)/( 2 x 2)
762/8 = 381/4
Hence,
762/8 in simplest form is 381/4.

762/8 simplified is 381/4, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 762/8 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 762/8 in its lowest terms.