51/357 Simplified

Learn how to find what is 51/357 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 51/357 in simplest form.

To simplify 51/357 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 51/357 can be reduced in simplest form. In this case, the greatest common divisor of 51 and 357 is 51. Dividing both the numerator and denominator by GCD, the fraction 51/357 becomes 1/7 which is the simplest form.

Simplify 51/357 as a Fraction
Using Factorization:
51/357 = (?)
51/357 = (3 x 17)/(3 x 7 x 17)      //write 51/357 in terms of factors
= 1/7
51/357 = 1/7
51/357 simplified is 1/7

Using GCD:
51/357 = (?)
GCD of 51 and 357 is 51.
51/357 = (51/51)/(357/51)
= 1/7
51/357 = 1/7
51/357 simplified is 1/7 in fraction form
where,
51/357 is the given fraction to be simplified,
1/7 is the lowest term of 51/357.

Notes: Simplify 51/357 in lowest terms
1. 51/357 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 51 and 357 is 51 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 51/357 can be represented in its reduced form.
2. On the other hand, you can also reduce 51/357 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 51/357 becomes (3 x 17)/(3 x 7 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 51/357 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 51/357

what to be found:
51/357 = ?
Simplify 51/357 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 51/357.
Prime factors of 51 = 3 x 17

step 3 Find the prime factors of the denominator of given fraction 51/357.
Prime factors of 357 = 3 x 7 x 17

step 4 Rewrite the fraction 51/357 in the form of prime factors as like the below:
51/357= (3 x 17) / (3 x 7 x 17)

step 5 Check and reduce the factors of 51 and 357 if any factors in the numerator and denominator cancel each other:
= (3 x 17) / (3 x 7 x 17)
= (1)/( 7 )
51/357 = 1/7

Hence,
51/357 in simplest form is 1/7.

Representing fraction 51/357 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 51/357 in its lowest terms.