Greatest Common Factor of 8502/484, 4143/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8502/484, 4143/309

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 8502/484,4143/309

Given fractions are 8502/484,4143/309

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 8502,4143

Greatest Common Factor of Numerators i.e. GCF of 8502,4143 is 3 .

LCM of Denominators means LCM of 484,309 as per the given fractions.

LCM of 484,309 is 149556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8502,4143

GCF of Fractions 8502/484,4143/309 is 3/149556

3 8502, 4143
2834, 1381

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8502,4143 By Matching Biggest Common Factor Method

Greatest Common Factor of 8502,4143 By Matching Biggest Common Factor Method

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Factors of 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1,3,1381,4143

Greatest Common Factor

We found the factors 8502,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 8502,4143 is 3.

Lets's calculate LCM of 484,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 149556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149556

Therefore, the GCF of Fractions 8502/484,4143/309 is 3/149556

Least Common Multiple of 484,309 with GCF Formula

Least Common Multiple of 484,309 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 484,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,309) = 1

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

GCF(484,309) x common factors =1 x 1 = 1

LCM(484,309) = ( 484 × 309 ) / 1

LCM(484,309) = 149556 / 1

LCM(484,309) = 149556


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 8502/484, 4143/309

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 8502/484, 4143/309?

Answer: GCF of Numerators as per given numbers 8502/484, 4143/309 is

GCF of Numerators i.e. for 8502,4143 is 3

LCM of denominators i.e. for 484,309 is 149556.

Thus, GCF of Fractions is 3/149556.Finally, GCF of Fractions for 8502/484, 4143/309 is 3/149556.