Greatest Common Factor of 8543/30, 5096/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8543/30, 5096/849

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 8543/30,5096/849

Given fractions are 8543/30,5096/849

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 8543,5096

Greatest Common Factor of Numerators i.e. GCF of 8543,5096 is 1 .

LCM of Denominators means LCM of 30,849 as per the given fractions.

LCM of 30,849 is 8490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8543,5096

GCF of Fractions 8543/30,5096/849 is 1/8490

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

Greatest Common Factor of 8543,5096 By Matching Biggest Common Factor Method

Greatest Common Factor of 8543,5096 By Matching Biggest Common Factor Method

Factors of 8543

List of positive integer factors of 8543 that divides 8543 without a remainder.

1,8543

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 8543,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 8543,5096 is 1.

Lets's calculate LCM of 30,849

3 30, 849
10, 283

∴ So the LCM of the given numbers is 3 x 10 x 283 = 8490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8490

Therefore, the GCF of Fractions 8543/30,5096/849 is 1/8490

Least Common Multiple of 30,849 with GCF Formula

Least Common Multiple of 30,849 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 30,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,849) = 3

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

GCF(30,849) x common factors =3 x 1 = 3

LCM(30,849) = ( 30 × 849 ) / 3

LCM(30,849) = 25470 / 3

LCM(30,849) = 8490


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 8543/30, 5096/849

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 8543/30, 5096/849?

Answer: GCF of Numerators as per given numbers 8543/30, 5096/849 is

GCF of Numerators i.e. for 8543,5096 is 1

LCM of denominators i.e. for 30,849 is 8490.

Thus, GCF of Fractions is 1/8490.Finally, GCF of Fractions for 8543/30, 5096/849 is 1/8490.