740/702 Simplified

Learn how to find what is 740/702 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 740/702 in simplest form.

To simplify 740/702 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 740/702 can be reduced in simplest form. In this case, the greatest common divisor of 740 and 702 is 2. Dividing both the numerator and denominator by GCD, the fraction 740/702 becomes 370/351 which is the simplest form.

Simplify 740/702 as a Fraction
Using Factorization:
740/702 = (?)
740/702 = (2 x 2 x 5 x 37)/(2 x 3 x 3 x 3 x 13)      //write 740/702 in terms of factors
= 370/351
740/702 = 370/351
740/702 simplified is 370/351

Using GCD:
740/702 = (?)
GCD of 740 and 702 is 2.
740/702 = (740/2)/(702/2)
= 370/351
740/702 = 370/351
740/702 simplified is 370/351 in fraction form
where,
740/702 is the given fraction to be simplified,
370/351 is the lowest term of 740/702.

Notes: Simplify 740/702 in lowest terms
1. 740/702 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 740 and 702 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 740/702 can be represented in its reduced form.
2. On the other hand, you can also reduce 740/702 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 740/702 becomes (2 x 2 x 5 x 37)/(2 x 3 x 3 x 3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 740/702 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 740/702

what to be found:
740/702 = ?
Simplify 740/702 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 740/702.
Prime factors of 740 = 2 x 2 x 5 x 37

step 3 Find the prime factors of the denominator of given fraction 740/702.
Prime factors of 702 = 2 x 3 x 3 x 3 x 13

step 4 Rewrite the fraction 740/702 in the form of prime factors as like the below:
740/702= (2 x 2 x 5 x 37) / (2 x 3 x 3 x 3 x 13)

step 5 Check and reduce the factors of 740 and 702 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 37) / (2 x 3 x 3 x 3 x 13)
= ( 2 x 5 x 37)/( 3 x 3 x 3 x 13)
740/702 = 370/351

Hence,
740/702 in simplest form is 370/351.

Representing fraction 740/702 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 740/702 in its lowest terms.