Greatest Common Factor of 8034/146, 4814/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8034/146, 4814/124

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 8034/146,4814/124

Given fractions are 8034/146,4814/124

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 8034,4814

Greatest Common Factor of Numerators i.e. GCF of 8034,4814 is 2 .

LCM of Denominators means LCM of 146,124 as per the given fractions.

LCM of 146,124 is 9052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8034,4814

GCF of Fractions 8034/146,4814/124 is 2/9052

2 8034, 4814
4017, 2407

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

Greatest Common Factor of 8034,4814 By Matching Biggest Common Factor Method

Greatest Common Factor of 8034,4814 By Matching Biggest Common Factor Method

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1,2,29,58,83,166,2407,4814

Greatest Common Factor

We found the factors 8034,4814 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,4814 is 2.

Lets's calculate LCM of 146,124

2 146, 124
73, 62

∴ So the LCM of the given numbers is 2 x 73 x 62 = 9052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9052

Therefore, the GCF of Fractions 8034/146,4814/124 is 2/9052

Least Common Multiple of 146,124 with GCF Formula

Least Common Multiple of 146,124 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 146,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,124) = 2

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

GCF(146,124) x common factors =2 x 1 = 2

LCM(146,124) = ( 146 × 124 ) / 2

LCM(146,124) = 18104 / 2

LCM(146,124) = 9052


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 8034/146, 4814/124

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 8034/146, 4814/124?

Answer: GCF of Numerators as per given numbers 8034/146, 4814/124 is

GCF of Numerators i.e. for 8034,4814 is 2

LCM of denominators i.e. for 146,124 is 9052.

Thus, GCF of Fractions is 2/9052.Finally, GCF of Fractions for 8034/146, 4814/124 is 2/9052.