Greatest Common Factor of 8104/11, 5964/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8104/11, 5964/841

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 8104/11,5964/841

Given fractions are 8104/11,5964/841

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 8104,5964

Greatest Common Factor of Numerators i.e. GCF of 8104,5964 is 4 .

LCM of Denominators means LCM of 11,841 as per the given fractions.

LCM of 11,841 is 9251 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8104,5964

GCF of Fractions 8104/11,5964/841 is 4/9251

2 8104, 5964
2 4052, 2982
2026, 1491

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8104,5964 By Matching Biggest Common Factor Method

Greatest Common Factor of 8104,5964 By Matching Biggest Common Factor Method

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1,2,4,8,1013,2026,4052,8104

Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964

Greatest Common Factor

We found the factors 8104,5964 . The biggest common factor number is the GCF number.
So the greatest common factor 8104,5964 is 4.

Lets's calculate LCM of 11,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 9251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9251

Therefore, the GCF of Fractions 8104/11,5964/841 is 4/9251

Least Common Multiple of 11,841 with GCF Formula

Least Common Multiple of 11,841 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 11,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,841) = 1

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

GCF(11,841) x common factors =1 x 1 = 1

LCM(11,841) = ( 11 × 841 ) / 1

LCM(11,841) = 9251 / 1

LCM(11,841) = 9251


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 8104/11, 5964/841

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 8104/11, 5964/841?

Answer: GCF of Numerators as per given numbers 8104/11, 5964/841 is

GCF of Numerators i.e. for 8104,5964 is 4

LCM of denominators i.e. for 11,841 is 9251.

Thus, GCF of Fractions is 4/9251.Finally, GCF of Fractions for 8104/11, 5964/841 is 4/9251.