Greatest Common Factor of 6096/10, 7763/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6096/10, 7763/904

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 6096/10,7763/904

Given fractions are 6096/10,7763/904

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 6096,7763

Greatest Common Factor of Numerators i.e. GCF of 6096,7763 is 1 .

LCM of Denominators means LCM of 10,904 as per the given fractions.

LCM of 10,904 is 4520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6096,7763

GCF of Fractions 6096/10,7763/904 is 1/4520

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

Greatest Common Factor of 6096,7763 By Matching Biggest Common Factor Method

Greatest Common Factor of 6096,7763 By Matching Biggest Common Factor Method

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Factors of 7763

List of positive integer factors of 7763 that divides 7763 without a remainder.

1,7,1109,7763

Greatest Common Factor

We found the factors 6096,7763 . The biggest common factor number is the GCF number.
So the greatest common factor 6096,7763 is 1.

Lets's calculate LCM of 10,904

2 10, 904
5, 452

∴ So the LCM of the given numbers is 2 x 5 x 452 = 4520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4520

Therefore, the GCF of Fractions 6096/10,7763/904 is 1/4520

Least Common Multiple of 10,904 with GCF Formula

Least Common Multiple of 10,904 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 10,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,904) = 2

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

GCF(10,904) x common factors =2 x 1 = 2

LCM(10,904) = ( 10 × 904 ) / 2

LCM(10,904) = 9040 / 2

LCM(10,904) = 4520


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 6096/10, 7763/904

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 6096/10, 7763/904?

Answer: GCF of Numerators as per given numbers 6096/10, 7763/904 is

GCF of Numerators i.e. for 6096,7763 is 1

LCM of denominators i.e. for 10,904 is 4520.

Thus, GCF of Fractions is 1/4520.Finally, GCF of Fractions for 6096/10, 7763/904 is 1/4520.