690/496 Simplified

Learn how to find what is 690/496 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 690/496 in simplest form.

To reduce 690/496 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 690/496 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 690 and 496 is 2. Dividing both the numerator and denominator by GCF, the fraction 690/496 becomes 345/248 which is the simplest form.

690/496 Simplified as a Fraction
Using Factorization:
690/496 = (?)
690/496 = (2 x 3 x 5 x 23)/(2 x 2 x 2 x 2 x 31)      write 690/496 in terms of factors
= 345/248
690/496 = 345/248
690/496 simplified is 345/248

Using GCF
690/496 = (?)
GCF of 690 and 496 is 2.
690/496 = (690/2)/(496/2)
= 345/248
690/496 = 345/248
690/496 simplified is 345/248 in fraction form
where,
690/496 is the given fraction to be simplified,
345/248 is the lowest term of 690/496.

Notes: 690/496 simplified in lowest terms
1. 690/496 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 690 and 496 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 690/496 can be represented in its reduced form.
2. On the other hand, you can also reduce 690/496 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 690/496 becomes (2 x 3 x 5 x 23)/(2 x 2 x 2 x 2 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 690/496 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 690/496

what to be found:
690/496 = ?
Reduce 690/496 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 690/496.
Prime factors of 690 = 2 x 3 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 690/496.
Prime factors of 496 = 2 x 2 x 2 x 2 x 31

step 4 Rewrite the fraction 690/496 in the form of prime factors as like the below:
690/496= (2 x 3 x 5 x 23) / (2 x 2 x 2 x 2 x 31)

step 5 Check and reduce the factors of 690 and 496 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 23) / (2 x 2 x 2 x 2 x 31)
= ( 3 x 5 x 23)/( 2 x 2 x 2 x 31)
690/496 = 345/248
Hence,
690/496 in simplest form is 345/248.

690/496 simplified is 345/248, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 690/496 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 690/496 in its lowest terms.