Greatest Common Factor of 4243/819, 9254/8895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4243/819, 9254/8895

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 4243/819,9254/8895

Given fractions are 4243/819,9254/8895

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 4243,9254

Greatest Common Factor of Numerators i.e. GCF of 4243,9254 is 1 .

LCM of Denominators means LCM of 819,8895 as per the given fractions.

LCM of 819,8895 is 2428335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4243,9254

GCF of Fractions 4243/819,9254/8895 is 1/2428335

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4243,9254 By Matching Biggest Common Factor Method

Greatest Common Factor of 4243,9254 By Matching Biggest Common Factor Method

Factors of 4243

List of positive integer factors of 4243 that divides 4243 without a remainder.

1,4243

Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1,2,7,14,661,1322,4627,9254

Greatest Common Factor

We found the factors 4243,9254 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,9254 is 1.

Lets's calculate LCM of 819,8895

3 819, 8895
273, 2965

∴ So the LCM of the given numbers is 3 x 273 x 2965 = 2428335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2428335

Therefore, the GCF of Fractions 4243/819,9254/8895 is 1/2428335

Least Common Multiple of 819,8895 with GCF Formula

Least Common Multiple of 819,8895 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 819,8895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,8895) = 3

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

GCF(819,8895) x common factors =3 x 1 = 3

LCM(819,8895) = ( 819 × 8895 ) / 3

LCM(819,8895) = 7285005 / 3

LCM(819,8895) = 2428335


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 4243/819, 9254/8895

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 4243/819, 9254/8895?

Answer: GCF of Numerators as per given numbers 4243/819, 9254/8895 is

GCF of Numerators i.e. for 4243,9254 is 1

LCM of denominators i.e. for 819,8895 is 2428335.

Thus, GCF of Fractions is 1/2428335.Finally, GCF of Fractions for 4243/819, 9254/8895 is 1/2428335.