Greatest Common Factor of 9003/12, 7074/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9003/12, 7074/711

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 9003/12,7074/711

Given fractions are 9003/12,7074/711

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 9003,7074

Greatest Common Factor of Numerators i.e. GCF of 9003,7074 is 3 .

LCM of Denominators means LCM of 12,711 as per the given fractions.

LCM of 12,711 is 2844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9003,7074

GCF of Fractions 9003/12,7074/711 is 3/2844

3 9003, 7074
3001, 2358

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9003,7074 By Matching Biggest Common Factor Method

Greatest Common Factor of 9003,7074 By Matching Biggest Common Factor Method

Factors of 9003

List of positive integer factors of 9003 that divides 9003 without a remainder.

1,3,3001,9003

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074

Greatest Common Factor

We found the factors 9003,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,7074 is 3.

Lets's calculate LCM of 12,711

3 12, 711
4, 237

∴ So the LCM of the given numbers is 3 x 4 x 237 = 2844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2844

Therefore, the GCF of Fractions 9003/12,7074/711 is 3/2844

Least Common Multiple of 12,711 with GCF Formula

Least Common Multiple of 12,711 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 12,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,711) = 3

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

GCF(12,711) x common factors =3 x 1 = 3

LCM(12,711) = ( 12 × 711 ) / 3

LCM(12,711) = 8532 / 3

LCM(12,711) = 2844


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 9003/12, 7074/711

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 9003/12, 7074/711?

Answer: GCF of Numerators as per given numbers 9003/12, 7074/711 is

GCF of Numerators i.e. for 9003,7074 is 3

LCM of denominators i.e. for 12,711 is 2844.

Thus, GCF of Fractions is 3/2844.Finally, GCF of Fractions for 9003/12, 7074/711 is 3/2844.