Greatest Common Factor of 5797/30, 1314/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5797/30, 1314/314

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 5797/30,1314/314

Given fractions are 5797/30,1314/314

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 5797,1314

Greatest Common Factor of Numerators i.e. GCF of 5797,1314 is 1 .

LCM of Denominators means LCM of 30,314 as per the given fractions.

LCM of 30,314 is 4710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5797,1314

GCF of Fractions 5797/30,1314/314 is 1/4710

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

Greatest Common Factor of 5797,1314 By Matching Biggest Common Factor Method

Greatest Common Factor of 5797,1314 By Matching Biggest Common Factor Method

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1,11,17,31,187,341,527,5797

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Greatest Common Factor

We found the factors 5797,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 5797,1314 is 1.

Lets's calculate LCM of 30,314

2 30, 314
15, 157

∴ So the LCM of the given numbers is 2 x 15 x 157 = 4710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4710

Therefore, the GCF of Fractions 5797/30,1314/314 is 1/4710

Least Common Multiple of 30,314 with GCF Formula

Least Common Multiple of 30,314 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 30,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,314) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(30,314) x common factors =2 x 1 = 2

LCM(30,314) = ( 30 × 314 ) / 2

LCM(30,314) = 9420 / 2

LCM(30,314) = 4710


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 5797/30, 1314/314

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 5797/30, 1314/314?

Answer: GCF of Numerators as per given numbers 5797/30, 1314/314 is

GCF of Numerators i.e. for 5797,1314 is 1

LCM of denominators i.e. for 30,314 is 4710.

Thus, GCF of Fractions is 1/4710.Finally, GCF of Fractions for 5797/30, 1314/314 is 1/4710.