687/945 Simplified

Learn how to find what is 687/945 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 687/945 in simplest form.

To reduce 687/945 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 687/945 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 687 and 945 is 3. Dividing both the numerator and denominator by GCF, the fraction 687/945 becomes 229/315 which is the simplest form.

687/945 Simplified as a Fraction
Using Factorization:
687/945 = (?)
687/945 = (3 x 229)/(3 x 3 x 3 x 5 x 7)      write 687/945 in terms of factors
= 229/315
687/945 = 229/315
687/945 simplified is 229/315

Using GCF
687/945 = (?)
GCF of 687 and 945 is 3.
687/945 = (687/3)/(945/3)
= 229/315
687/945 = 229/315
687/945 simplified is 229/315 in fraction form
where,
687/945 is the given fraction to be simplified,
229/315 is the lowest term of 687/945.

Notes: 687/945 simplified in lowest terms
1. 687/945 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 687 and 945 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 687/945 can be represented in its reduced form.
2. On the other hand, you can also reduce 687/945 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 687/945 becomes (3 x 229)/(3 x 3 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 687/945 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 687/945

what to be found:
687/945 = ?
Reduce 687/945 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 687/945.
Prime factors of 687 = 3 x 229

step 3 Find the prime factors of the denominator of given fraction 687/945.
Prime factors of 945 = 3 x 3 x 3 x 5 x 7

step 4 Rewrite the fraction 687/945 in the form of prime factors as like the below:
687/945= (3 x 229) / (3 x 3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 687 and 945 if any factors in the numerator and denominator cancel each other:
= (3 x 229) / (3 x 3 x 3 x 5 x 7)
= ( 229)/( 3 x 3 x 5 x 7)
687/945 = 229/315
Hence,
687/945 in simplest form is 229/315.

687/945 simplified is 229/315, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 687/945 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 687/945 in its lowest terms.