Greatest Common Factor of 8339/975, 3082/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8339/975, 3082/360

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 8339/975,3082/360

Given fractions are 8339/975,3082/360

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 8339,3082

Greatest Common Factor of Numerators i.e. GCF of 8339,3082 is 1 .

LCM of Denominators means LCM of 975,360 as per the given fractions.

LCM of 975,360 is 23400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8339,3082

GCF of Fractions 8339/975,3082/360 is 1/23400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8339,3082 By Matching Biggest Common Factor Method

Greatest Common Factor of 8339,3082 By Matching Biggest Common Factor Method

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1,31,269,8339

Factors of 3082

List of positive integer factors of 3082 that divides 3082 without a remainder.

1,2,23,46,67,134,1541,3082

Greatest Common Factor

We found the factors 8339,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 8339,3082 is 1.

Lets's calculate LCM of 975,360

3 975, 360
5 325, 120
65, 24

∴ So the LCM of the given numbers is 3 x 5 x 65 x 24 = 23400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23400

Therefore, the GCF of Fractions 8339/975,3082/360 is 1/23400

Least Common Multiple of 975,360 with GCF Formula

Least Common Multiple of 975,360 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 975,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,360) = 15

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

GCF(975,360) x common factors =15 x 1 = 15

LCM(975,360) = ( 975 × 360 ) / 15

LCM(975,360) = 351000 / 15

LCM(975,360) = 23400


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 8339/975, 3082/360

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 8339/975, 3082/360?

Answer: GCF of Numerators as per given numbers 8339/975, 3082/360 is

GCF of Numerators i.e. for 8339,3082 is 1

LCM of denominators i.e. for 975,360 is 23400.

Thus, GCF of Fractions is 1/23400.Finally, GCF of Fractions for 8339/975, 3082/360 is 1/23400.