Greatest Common Factor of 3084/839, 8146/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3084/839, 8146/163

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 3084/839,8146/163

Given fractions are 3084/839,8146/163

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 3084,8146

Greatest Common Factor of Numerators i.e. GCF of 3084,8146 is 2 .

LCM of Denominators means LCM of 839,163 as per the given fractions.

LCM of 839,163 is 136757 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3084,8146

GCF of Fractions 3084/839,8146/163 is 2/136757

2 3084, 8146
1542, 4073

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

Greatest Common Factor of 3084,8146 By Matching Biggest Common Factor Method

Greatest Common Factor of 3084,8146 By Matching Biggest Common Factor Method

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1,2,4073,8146

Greatest Common Factor

We found the factors 3084,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 3084,8146 is 2.

Lets's calculate LCM of 839,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 136757

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136757

Therefore, the GCF of Fractions 3084/839,8146/163 is 2/136757

Least Common Multiple of 839,163 with GCF Formula

Least Common Multiple of 839,163 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 839,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,163) = 1

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

GCF(839,163) x common factors =1 x 1 = 1

LCM(839,163) = ( 839 × 163 ) / 1

LCM(839,163) = 136757 / 1

LCM(839,163) = 136757


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 3084/839, 8146/163

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 3084/839, 8146/163?

Answer: GCF of Numerators as per given numbers 3084/839, 8146/163 is

GCF of Numerators i.e. for 3084,8146 is 2

LCM of denominators i.e. for 839,163 is 136757.

Thus, GCF of Fractions is 2/136757.Finally, GCF of Fractions for 3084/839, 8146/163 is 2/136757.