Greatest Common Factor of 8454/423, 6492/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8454/423, 6492/903

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 8454/423,6492/903

Given fractions are 8454/423,6492/903

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 8454,6492

Greatest Common Factor of Numerators i.e. GCF of 8454,6492 is 6 .

LCM of Denominators means LCM of 423,903 as per the given fractions.

LCM of 423,903 is 127323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8454,6492

GCF of Fractions 8454/423,6492/903 is 6/127323

2 8454, 6492
3 4227, 3246
1409, 1082

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

Greatest Common Factor of 8454,6492 By Matching Biggest Common Factor Method

Greatest Common Factor of 8454,6492 By Matching Biggest Common Factor Method

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1,2,3,6,1409,2818,4227,8454

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Greatest Common Factor

We found the factors 8454,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 8454,6492 is 6.

Lets's calculate LCM of 423,903

3 423, 903
141, 301

∴ So the LCM of the given numbers is 3 x 141 x 301 = 127323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/127323

Therefore, the GCF of Fractions 8454/423,6492/903 is 6/127323

Least Common Multiple of 423,903 with GCF Formula

Least Common Multiple of 423,903 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 423,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,903) = 3

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

GCF(423,903) x common factors =3 x 1 = 3

LCM(423,903) = ( 423 × 903 ) / 3

LCM(423,903) = 381969 / 3

LCM(423,903) = 127323


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 8454/423, 6492/903

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 8454/423, 6492/903?

Answer: GCF of Numerators as per given numbers 8454/423, 6492/903 is

GCF of Numerators i.e. for 8454,6492 is 6

LCM of denominators i.e. for 423,903 is 127323.

Thus, GCF of Fractions is 6/127323.Finally, GCF of Fractions for 8454/423, 6492/903 is 6/127323.