Greatest Common Factor of 6084/854, 9334/6295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6084/854, 9334/6295

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 6084/854,9334/6295

Given fractions are 6084/854,9334/6295

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 6084,9334

Greatest Common Factor of Numerators i.e. GCF of 6084,9334 is 26 .

LCM of Denominators means LCM of 854,6295 as per the given fractions.

LCM of 854,6295 is 5375930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6084,9334

GCF of Fractions 6084/854,9334/6295 is 26/5375930

2 6084, 9334
13 3042, 4667
234, 359

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 6084,9334 By Matching Biggest Common Factor Method

Greatest Common Factor of 6084,9334 By Matching Biggest Common Factor Method

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 6084,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,9334 is 26.

Lets's calculate LCM of 854,6295

Given numbers has no common factors except 1. So, there LCM is their product i.e 5375930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/5375930

Therefore, the GCF of Fractions 6084/854,9334/6295 is 26/5375930

Least Common Multiple of 854,6295 with GCF Formula

Least Common Multiple of 854,6295 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 854,6295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,6295) = 1

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

GCF(854,6295) x common factors =1 x 1 = 1

LCM(854,6295) = ( 854 × 6295 ) / 1

LCM(854,6295) = 5375930 / 1

LCM(854,6295) = 5375930


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 6084/854, 9334/6295

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 6084/854, 9334/6295?

Answer: GCF of Numerators as per given numbers 6084/854, 9334/6295 is

GCF of Numerators i.e. for 6084,9334 is 26

LCM of denominators i.e. for 854,6295 is 5375930.

Thus, GCF of Fractions is 26/5375930.Finally, GCF of Fractions for 6084/854, 9334/6295 is 26/5375930.