Greatest Common Factor of 4784/124, 8866/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4784/124, 8866/270

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 4784/124,8866/270

Given fractions are 4784/124,8866/270

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 4784,8866

Greatest Common Factor of Numerators i.e. GCF of 4784,8866 is 26 .

LCM of Denominators means LCM of 124,270 as per the given fractions.

LCM of 124,270 is 16740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4784,8866

GCF of Fractions 4784/124,8866/270 is 26/16740

2 4784, 8866
13 2392, 4433
184, 341

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 4784,8866 By Matching Biggest Common Factor Method

Greatest Common Factor of 4784,8866 By Matching Biggest Common Factor Method

Factors of 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Factors of 8866

List of positive integer factors of 8866 that divides 8866 without a remainder.

1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866

Greatest Common Factor

We found the factors 4784,8866 . The biggest common factor number is the GCF number.
So the greatest common factor 4784,8866 is 26.

Lets's calculate LCM of 124,270

2 124, 270
62, 135

∴ So the LCM of the given numbers is 2 x 62 x 135 = 16740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/16740

Therefore, the GCF of Fractions 4784/124,8866/270 is 26/16740

Least Common Multiple of 124,270 with GCF Formula

Least Common Multiple of 124,270 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 124,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,270) = 2

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

GCF(124,270) x common factors =2 x 1 = 2

LCM(124,270) = ( 124 × 270 ) / 2

LCM(124,270) = 33480 / 2

LCM(124,270) = 16740


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 4784/124, 8866/270

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 4784/124, 8866/270?

Answer: GCF of Numerators as per given numbers 4784/124, 8866/270 is

GCF of Numerators i.e. for 4784,8866 is 26

LCM of denominators i.e. for 124,270 is 16740.

Thus, GCF of Fractions is 26/16740.Finally, GCF of Fractions for 4784/124, 8866/270 is 26/16740.