Greatest Common Factor of 230/891, 8441/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/891, 8441/969

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 230/891,8441/969

Given fractions are 230/891,8441/969

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 230,8441

Greatest Common Factor of Numerators i.e. GCF of 230,8441 is 23 .

LCM of Denominators means LCM of 891,969 as per the given fractions.

LCM of 891,969 is 287793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,8441

GCF of Fractions 230/891,8441/969 is 23/287793

23 230, 8441
10, 367

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 230,8441 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,8441 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Greatest Common Factor

We found the factors 230,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 230,8441 is 23.

Lets's calculate LCM of 891,969

3 891, 969
297, 323

∴ So the LCM of the given numbers is 3 x 297 x 323 = 287793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/287793

Therefore, the GCF of Fractions 230/891,8441/969 is 23/287793

Least Common Multiple of 891,969 with GCF Formula

Least Common Multiple of 891,969 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 891,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,969) = 3

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

GCF(891,969) x common factors =3 x 1 = 3

LCM(891,969) = ( 891 × 969 ) / 3

LCM(891,969) = 863379 / 3

LCM(891,969) = 287793


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 230/891, 8441/969

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 230/891, 8441/969?

Answer: GCF of Numerators as per given numbers 230/891, 8441/969 is

GCF of Numerators i.e. for 230,8441 is 23

LCM of denominators i.e. for 891,969 is 287793.

Thus, GCF of Fractions is 23/287793.Finally, GCF of Fractions for 230/891, 8441/969 is 23/287793.