Greatest Common Factor of 319/54, 157/45, 516/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/54, 157/45, 516/231

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 319/54,157/45,516/231

Given fractions are 319/54,157/45,516/231

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 319,157,516

Greatest Common Factor of Numerators i.e. GCF of 319,157,516 is 1 .

LCM of Denominators means LCM of 54,45,231 as per the given fractions.

LCM of 54,45,231 is 20790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,157,516

GCF of Fractions 319/54,157/45,516/231 is 1/20790

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 319,157,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,157,516 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 319,157,516 . The biggest common factor number is the GCF number.
So the greatest common factor 319,157,516 is 1.

Lets's calculate LCM of 54,45,231

3 54, 45, 231
3 18, 15, 77
6, 5, 77

∴ So the LCM of the given numbers is 3 x 3 x 6 x 5 x 77 = 20790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20790

Therefore, the GCF of Fractions 319/54,157/45,516/231 is 1/20790

Least Common Multiple of 54,45,231 with GCF Formula

Least Common Multiple of 54,45,231 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,45,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,45,231) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(54,45,231) x common factors =3 x 9 = 27

LCM(54,45,231) = ( 54 × 45 × 231 ) / 27

LCM(54,45,231) = 561330 / 27

LCM(54,45,231) = 20790


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 319/54, 157/45, 516/231

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 319/54, 157/45, 516/231?

Answer: GCF of Numerators as per given numbers 319/54, 157/45, 516/231 is

GCF of Numerators i.e. for 319,157,516 is 1

LCM of denominators i.e. for 54,45,231 is 20790.

Thus, GCF of Fractions is 1/20790.Finally, GCF of Fractions for 319/54, 157/45, 516/231 is 1/20790.