698/624 Simplified

Learn how to find what is 698/624 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 698/624 in simplest form.

To reduce 698/624 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 698/624 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 698 and 624 is 2. Dividing both the numerator and denominator by GCF, the fraction 698/624 becomes 349/312 which is the simplest form.

698/624 Simplified as a Fraction
Using Factorization:
698/624 = (?)
698/624 = (2 x 349)/(2 x 2 x 2 x 2 x 3 x 13)      write 698/624 in terms of factors
= 349/312
698/624 = 349/312
698/624 simplified is 349/312

Using GCF
698/624 = (?)
GCF of 698 and 624 is 2.
698/624 = (698/2)/(624/2)
= 349/312
698/624 = 349/312
698/624 simplified is 349/312 in fraction form
where,
698/624 is the given fraction to be simplified,
349/312 is the lowest term of 698/624.

Notes: 698/624 simplified in lowest terms
1. 698/624 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 698 and 624 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 698/624 can be represented in its reduced form.
2. On the other hand, you can also reduce 698/624 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 698/624 becomes (2 x 349)/(2 x 2 x 2 x 2 x 3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 698/624 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 698/624

what to be found:
698/624 = ?
Reduce 698/624 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 698/624.
Prime factors of 698 = 2 x 349

step 3 Find the prime factors of the denominator of given fraction 698/624.
Prime factors of 624 = 2 x 2 x 2 x 2 x 3 x 13

step 4 Rewrite the fraction 698/624 in the form of prime factors as like the below:
698/624= (2 x 349) / (2 x 2 x 2 x 2 x 3 x 13)

step 5 Check and reduce the factors of 698 and 624 if any factors in the numerator and denominator cancel each other:
= (2 x 349) / (2 x 2 x 2 x 2 x 3 x 13)
= ( 349)/( 2 x 2 x 2 x 3 x 13)
698/624 = 349/312
Hence,
698/624 in simplest form is 349/312.

698/624 simplified is 349/312, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 698/624 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 698/624 in its lowest terms.