Greatest Common Factor of 8378/982, 7110/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8378/982, 7110/183

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 8378/982,7110/183

Given fractions are 8378/982,7110/183

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 8378,7110

Greatest Common Factor of Numerators i.e. GCF of 8378,7110 is 2 .

LCM of Denominators means LCM of 982,183 as per the given fractions.

LCM of 982,183 is 179706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8378,7110

GCF of Fractions 8378/982,7110/183 is 2/179706

2 8378, 7110
4189, 3555

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

Greatest Common Factor of 8378,7110 By Matching Biggest Common Factor Method

Greatest Common Factor of 8378,7110 By Matching Biggest Common Factor Method

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Factors of 7110

List of positive integer factors of 7110 that divides 7110 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110

Greatest Common Factor

We found the factors 8378,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 8378,7110 is 2.

Lets's calculate LCM of 982,183

Given numbers has no common factors except 1. So, there LCM is their product i.e 179706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179706

Therefore, the GCF of Fractions 8378/982,7110/183 is 2/179706

Least Common Multiple of 982,183 with GCF Formula

Least Common Multiple of 982,183 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 982,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,183) = 1

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

GCF(982,183) x common factors =1 x 1 = 1

LCM(982,183) = ( 982 × 183 ) / 1

LCM(982,183) = 179706 / 1

LCM(982,183) = 179706


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 8378/982, 7110/183

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 8378/982, 7110/183?

Answer: GCF of Numerators as per given numbers 8378/982, 7110/183 is

GCF of Numerators i.e. for 8378,7110 is 2

LCM of denominators i.e. for 982,183 is 179706.

Thus, GCF of Fractions is 2/179706.Finally, GCF of Fractions for 8378/982, 7110/183 is 2/179706.