Greatest Common Factor of 7310/994, 2038/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7310/994, 2038/610

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 7310/994,2038/610

Given fractions are 7310/994,2038/610

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 7310,2038

Greatest Common Factor of Numerators i.e. GCF of 7310,2038 is 2 .

LCM of Denominators means LCM of 994,610 as per the given fractions.

LCM of 994,610 is 303170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7310,2038

GCF of Fractions 7310/994,2038/610 is 2/303170

2 7310, 2038
3655, 1019

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

Greatest Common Factor of 7310,2038 By Matching Biggest Common Factor Method

Greatest Common Factor of 7310,2038 By Matching Biggest Common Factor Method

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1,2,1019,2038

Greatest Common Factor

We found the factors 7310,2038 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,2038 is 2.

Lets's calculate LCM of 994,610

2 994, 610
497, 305

∴ So the LCM of the given numbers is 2 x 497 x 305 = 303170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303170

Therefore, the GCF of Fractions 7310/994,2038/610 is 2/303170

Least Common Multiple of 994,610 with GCF Formula

Least Common Multiple of 994,610 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 994,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,610) = 2

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

GCF(994,610) x common factors =2 x 1 = 2

LCM(994,610) = ( 994 × 610 ) / 2

LCM(994,610) = 606340 / 2

LCM(994,610) = 303170


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 7310/994, 2038/610

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 7310/994, 2038/610?

Answer: GCF of Numerators as per given numbers 7310/994, 2038/610 is

GCF of Numerators i.e. for 7310,2038 is 2

LCM of denominators i.e. for 994,610 is 303170.

Thus, GCF of Fractions is 2/303170.Finally, GCF of Fractions for 7310/994, 2038/610 is 2/303170.