Greatest Common Factor of 8261/888, 4730/5784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8261/888, 4730/5784

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 8261/888,4730/5784

Given fractions are 8261/888,4730/5784

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 8261,4730

Greatest Common Factor of Numerators i.e. GCF of 8261,4730 is 11 .

LCM of Denominators means LCM of 888,5784 as per the given fractions.

LCM of 888,5784 is 214008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8261,4730

GCF of Fractions 8261/888,4730/5784 is 11/214008

11 8261, 4730
751, 430

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8261,4730 By Matching Biggest Common Factor Method

Greatest Common Factor of 8261,4730 By Matching Biggest Common Factor Method

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1,11,751,8261

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

Greatest Common Factor

We found the factors 8261,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,4730 is 11.

Lets's calculate LCM of 888,5784

2 888, 5784
2 444, 2892
2 222, 1446
3 111, 723
37, 241

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 241 = 214008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/214008

Therefore, the GCF of Fractions 8261/888,4730/5784 is 11/214008

Least Common Multiple of 888,5784 with GCF Formula

Least Common Multiple of 888,5784 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 888,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,5784) = 24

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

GCF(888,5784) x common factors =24 x 1 = 24

LCM(888,5784) = ( 888 × 5784 ) / 24

LCM(888,5784) = 5136192 / 24

LCM(888,5784) = 214008


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 8261/888, 4730/5784

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 8261/888, 4730/5784?

Answer: GCF of Numerators as per given numbers 8261/888, 4730/5784 is

GCF of Numerators i.e. for 8261,4730 is 11

LCM of denominators i.e. for 888,5784 is 214008.

Thus, GCF of Fractions is 11/214008.Finally, GCF of Fractions for 8261/888, 4730/5784 is 11/214008.