Greatest Common Factor of 8182/968, 6124/5271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8182/968, 6124/5271

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 8182/968,6124/5271

Given fractions are 8182/968,6124/5271

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 8182,6124

Greatest Common Factor of Numerators i.e. GCF of 8182,6124 is 2 .

LCM of Denominators means LCM of 968,5271 as per the given fractions.

LCM of 968,5271 is 5102328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8182,6124

GCF of Fractions 8182/968,6124/5271 is 2/5102328

2 8182, 6124
4091, 3062

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

Greatest Common Factor of 8182,6124 By Matching Biggest Common Factor Method

Greatest Common Factor of 8182,6124 By Matching Biggest Common Factor Method

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1,2,4091,8182

Factors of 6124

List of positive integer factors of 6124 that divides 6124 without a remainder.

1,2,4,1531,3062,6124

Greatest Common Factor

We found the factors 8182,6124 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,6124 is 2.

Lets's calculate LCM of 968,5271

Given numbers has no common factors except 1. So, there LCM is their product i.e 5102328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5102328

Therefore, the GCF of Fractions 8182/968,6124/5271 is 2/5102328

Least Common Multiple of 968,5271 with GCF Formula

Least Common Multiple of 968,5271 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 968,5271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,5271) = 1

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

GCF(968,5271) x common factors =1 x 1 = 1

LCM(968,5271) = ( 968 × 5271 ) / 1

LCM(968,5271) = 5102328 / 1

LCM(968,5271) = 5102328


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 8182/968, 6124/5271

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 8182/968, 6124/5271?

Answer: GCF of Numerators as per given numbers 8182/968, 6124/5271 is

GCF of Numerators i.e. for 8182,6124 is 2

LCM of denominators i.e. for 968,5271 is 5102328.

Thus, GCF of Fractions is 2/5102328.Finally, GCF of Fractions for 8182/968, 6124/5271 is 2/5102328.