72/646 Simplified

Learn how to find what is 72/646 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 72/646 in simplest form.

To reduce 72/646 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 72/646 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 72 and 646 is 2. Dividing both the numerator and denominator by GCF, the fraction 72/646 becomes 36/323 which is the simplest form.

72/646 Simplified as a Fraction
Using Factorization:
72/646 = (?)
72/646 = (2 x 2 x 2 x 3 x 3)/(2 x 17 x 19)      write 72/646 in terms of factors
= 36/323
72/646 = 36/323
72/646 simplified is 36/323

Using GCF
72/646 = (?)
GCF of 72 and 646 is 2.
72/646 = (72/2)/(646/2)
= 36/323
72/646 = 36/323
72/646 simplified is 36/323 in fraction form
where,
72/646 is the given fraction to be simplified,
36/323 is the lowest term of 72/646.

Notes: 72/646 simplified in lowest terms
1. 72/646 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 72 and 646 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 72/646 can be represented in its reduced form.
2. On the other hand, you can also reduce 72/646 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 72/646 becomes (2 x 2 x 2 x 3 x 3)/(2 x 17 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 72/646 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/646

what to be found:
72/646 = ?
Reduce 72/646 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 72/646.
Prime factors of 72 = 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 72/646.
Prime factors of 646 = 2 x 17 x 19

step 4 Rewrite the fraction 72/646 in the form of prime factors as like the below:
72/646= (2 x 2 x 2 x 3 x 3) / (2 x 17 x 19)

step 5 Check and reduce the factors of 72 and 646 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3) / (2 x 17 x 19)
= ( 2 x 2 x 3 x 3)/( 17 x 19)
72/646 = 36/323
Hence,
72/646 in simplest form is 36/323.

72/646 simplified is 36/323, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 72/646 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 72/646 in its lowest terms.