700/392 Simplified

Learn how to find what is 700/392 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 700/392 in simplest form.

To reduce 700/392 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 700/392 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 700 and 392 is 28. Dividing both the numerator and denominator by GCF, the fraction 700/392 becomes 25/14 which is the simplest form.

700/392 Simplified as a Fraction
Using Factorization:
700/392 = (?)
700/392 = (2 x 2 x 5 x 5 x 7)/(2 x 2 x 2 x 7 x 7)      write 700/392 in terms of factors
= 25/14
700/392 = 25/14
700/392 simplified is 25/14

Using GCF
700/392 = (?)
GCF of 700 and 392 is 28.
700/392 = (700/28)/(392/28)
= 25/14
700/392 = 25/14
700/392 simplified is 25/14 in fraction form
where,
700/392 is the given fraction to be simplified,
25/14 is the lowest term of 700/392.

Notes: 700/392 simplified in lowest terms
1. 700/392 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 700 and 392 is 28 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 700/392 can be represented in its reduced form.
2. On the other hand, you can also reduce 700/392 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 700/392 becomes (2 x 2 x 5 x 5 x 7)/(2 x 2 x 2 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 700/392 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 700/392

what to be found:
700/392 = ?
Reduce 700/392 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 700/392.
Prime factors of 700 = 2 x 2 x 5 x 5 x 7

step 3 Find the prime factors of the denominator of given fraction 700/392.
Prime factors of 392 = 2 x 2 x 2 x 7 x 7

step 4 Rewrite the fraction 700/392 in the form of prime factors as like the below:
700/392= (2 x 2 x 5 x 5 x 7) / (2 x 2 x 2 x 7 x 7)

step 5 Check and reduce the factors of 700 and 392 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 5 x 7) / (2 x 2 x 2 x 7 x 7)
= ( 5 x 5 )/( 2 x 7)
700/392 = 25/14
Hence,
700/392 in simplest form is 25/14.

700/392 simplified is 25/14, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 700/392 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 700/392 in its lowest terms.