Greatest Common Factor of 9234/854, 8076/6940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9234/854, 8076/6940

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 9234/854,8076/6940

Given fractions are 9234/854,8076/6940

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 9234,8076

Greatest Common Factor of Numerators i.e. GCF of 9234,8076 is 6 .

LCM of Denominators means LCM of 854,6940 as per the given fractions.

LCM of 854,6940 is 2963380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9234,8076

GCF of Fractions 9234/854,8076/6940 is 6/2963380

2 9234, 8076
3 4617, 4038
1539, 1346

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9234,8076 By Matching Biggest Common Factor Method

Greatest Common Factor of 9234,8076 By Matching Biggest Common Factor Method

Factors of 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1,2,3,4,6,12,673,1346,2019,2692,4038,8076

Greatest Common Factor

We found the factors 9234,8076 . The biggest common factor number is the GCF number.
So the greatest common factor 9234,8076 is 6.

Lets's calculate LCM of 854,6940

2 854, 6940
427, 3470

∴ So the LCM of the given numbers is 2 x 427 x 3470 = 2963380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2963380

Therefore, the GCF of Fractions 9234/854,8076/6940 is 6/2963380

Least Common Multiple of 854,6940 with GCF Formula

Least Common Multiple of 854,6940 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 854,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,6940) = 2

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

GCF(854,6940) x common factors =2 x 1 = 2

LCM(854,6940) = ( 854 × 6940 ) / 2

LCM(854,6940) = 5926760 / 2

LCM(854,6940) = 2963380


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 9234/854, 8076/6940

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 9234/854, 8076/6940?

Answer: GCF of Numerators as per given numbers 9234/854, 8076/6940 is

GCF of Numerators i.e. for 9234,8076 is 6

LCM of denominators i.e. for 854,6940 is 2963380.

Thus, GCF of Fractions is 6/2963380.Finally, GCF of Fractions for 9234/854, 8076/6940 is 6/2963380.