Greatest Common Factor of 8478/855, 9230/8322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8478/855, 9230/8322

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 8478/855,9230/8322

Given fractions are 8478/855,9230/8322

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 8478,9230

Greatest Common Factor of Numerators i.e. GCF of 8478,9230 is 2 .

LCM of Denominators means LCM of 855,8322 as per the given fractions.

LCM of 855,8322 is 124830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8478,9230

GCF of Fractions 8478/855,9230/8322 is 2/124830

2 8478, 9230
4239, 4615

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

Greatest Common Factor of 8478,9230 By Matching Biggest Common Factor Method

Greatest Common Factor of 8478,9230 By Matching Biggest Common Factor Method

Factors of 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Greatest Common Factor

We found the factors 8478,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 8478,9230 is 2.

Lets's calculate LCM of 855,8322

3 855, 8322
19 285, 2774
15, 146

∴ So the LCM of the given numbers is 3 x 19 x 15 x 146 = 124830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124830

Therefore, the GCF of Fractions 8478/855,9230/8322 is 2/124830

Least Common Multiple of 855,8322 with GCF Formula

Least Common Multiple of 855,8322 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 855,8322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,8322) = 57

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

GCF(855,8322) x common factors =57 x 1 = 57

LCM(855,8322) = ( 855 × 8322 ) / 57

LCM(855,8322) = 7115310 / 57

LCM(855,8322) = 124830


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 8478/855, 9230/8322

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 8478/855, 9230/8322?

Answer: GCF of Numerators as per given numbers 8478/855, 9230/8322 is

GCF of Numerators i.e. for 8478,9230 is 2

LCM of denominators i.e. for 855,8322 is 124830.

Thus, GCF of Fractions is 2/124830.Finally, GCF of Fractions for 8478/855, 9230/8322 is 2/124830.