Greatest Common Factor of 9005/96, 6810/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9005/96, 6810/878

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 9005/96,6810/878

Given fractions are 9005/96,6810/878

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 9005,6810

Greatest Common Factor of Numerators i.e. GCF of 9005,6810 is 5 .

LCM of Denominators means LCM of 96,878 as per the given fractions.

LCM of 96,878 is 42144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9005,6810

GCF of Fractions 9005/96,6810/878 is 5/42144

5 9005, 6810
1801, 1362

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9005,6810 By Matching Biggest Common Factor Method

Greatest Common Factor of 9005,6810 By Matching Biggest Common Factor Method

Factors of 9005

List of positive integer factors of 9005 that divides 9005 without a remainder.

1,5,1801,9005

Factors of 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Greatest Common Factor

We found the factors 9005,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 9005,6810 is 5.

Lets's calculate LCM of 96,878

2 96, 878
48, 439

∴ So the LCM of the given numbers is 2 x 48 x 439 = 42144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/42144

Therefore, the GCF of Fractions 9005/96,6810/878 is 5/42144

Least Common Multiple of 96,878 with GCF Formula

Least Common Multiple of 96,878 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 96,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,878) = 2

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

GCF(96,878) x common factors =2 x 1 = 2

LCM(96,878) = ( 96 × 878 ) / 2

LCM(96,878) = 84288 / 2

LCM(96,878) = 42144


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 9005/96, 6810/878

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 9005/96, 6810/878?

Answer: GCF of Numerators as per given numbers 9005/96, 6810/878 is

GCF of Numerators i.e. for 9005,6810 is 5

LCM of denominators i.e. for 96,878 is 42144.

Thus, GCF of Fractions is 5/42144.Finally, GCF of Fractions for 9005/96, 6810/878 is 5/42144.