Greatest Common Factor of 4349/15, 1032/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4349/15, 1032/543

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 4349/15,1032/543

Given fractions are 4349/15,1032/543

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 4349,1032

Greatest Common Factor of Numerators i.e. GCF of 4349,1032 is 1 .

LCM of Denominators means LCM of 15,543 as per the given fractions.

LCM of 15,543 is 2715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4349,1032

GCF of Fractions 4349/15,1032/543 is 1/2715

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

Greatest Common Factor of 4349,1032 By Matching Biggest Common Factor Method

Greatest Common Factor of 4349,1032 By Matching Biggest Common Factor Method

Factors of 4349

List of positive integer factors of 4349 that divides 4349 without a remainder.

1,4349

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032

Greatest Common Factor

We found the factors 4349,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 4349,1032 is 1.

Lets's calculate LCM of 15,543

3 15, 543
5, 181

∴ So the LCM of the given numbers is 3 x 5 x 181 = 2715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2715

Therefore, the GCF of Fractions 4349/15,1032/543 is 1/2715

Least Common Multiple of 15,543 with GCF Formula

Least Common Multiple of 15,543 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 15,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,543) = 3

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

GCF(15,543) x common factors =3 x 1 = 3

LCM(15,543) = ( 15 × 543 ) / 3

LCM(15,543) = 8145 / 3

LCM(15,543) = 2715


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 4349/15, 1032/543

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 4349/15, 1032/543?

Answer: GCF of Numerators as per given numbers 4349/15, 1032/543 is

GCF of Numerators i.e. for 4349,1032 is 1

LCM of denominators i.e. for 15,543 is 2715.

Thus, GCF of Fractions is 1/2715.Finally, GCF of Fractions for 4349/15, 1032/543 is 1/2715.