Greatest Common Factor of 8538/228, 4874/1486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8538/228, 4874/1486

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 8538/228,4874/1486

Given fractions are 8538/228,4874/1486

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 8538,4874

Greatest Common Factor of Numerators i.e. GCF of 8538,4874 is 2 .

LCM of Denominators means LCM of 228,1486 as per the given fractions.

LCM of 228,1486 is 169404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8538,4874

GCF of Fractions 8538/228,4874/1486 is 2/169404

2 8538, 4874
4269, 2437

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

Greatest Common Factor of 8538,4874 By Matching Biggest Common Factor Method

Greatest Common Factor of 8538,4874 By Matching Biggest Common Factor Method

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1,2,2437,4874

Greatest Common Factor

We found the factors 8538,4874 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,4874 is 2.

Lets's calculate LCM of 228,1486

2 228, 1486
114, 743

∴ So the LCM of the given numbers is 2 x 114 x 743 = 169404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169404

Therefore, the GCF of Fractions 8538/228,4874/1486 is 2/169404

Least Common Multiple of 228,1486 with GCF Formula

Least Common Multiple of 228,1486 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 228,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,1486) = 2

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

GCF(228,1486) x common factors =2 x 1 = 2

LCM(228,1486) = ( 228 × 1486 ) / 2

LCM(228,1486) = 338808 / 2

LCM(228,1486) = 169404


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 8538/228, 4874/1486

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 8538/228, 4874/1486?

Answer: GCF of Numerators as per given numbers 8538/228, 4874/1486 is

GCF of Numerators i.e. for 8538,4874 is 2

LCM of denominators i.e. for 228,1486 is 169404.

Thus, GCF of Fractions is 2/169404.Finally, GCF of Fractions for 8538/228, 4874/1486 is 2/169404.