Greatest Common Factor of 5904/12, 7263/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5904/12, 7263/218

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 5904/12,7263/218

Given fractions are 5904/12,7263/218

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 5904,7263

Greatest Common Factor of Numerators i.e. GCF of 5904,7263 is 9 .

LCM of Denominators means LCM of 12,218 as per the given fractions.

LCM of 12,218 is 1308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5904,7263

GCF of Fractions 5904/12,7263/218 is 9/1308

3 5904, 7263
3 1968, 2421
656, 807

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5904,7263 By Matching Biggest Common Factor Method

Greatest Common Factor of 5904,7263 By Matching Biggest Common Factor Method

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904

Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1,3,9,27,269,807,2421,7263

Greatest Common Factor

We found the factors 5904,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,7263 is 9.

Lets's calculate LCM of 12,218

2 12, 218
6, 109

∴ So the LCM of the given numbers is 2 x 6 x 109 = 1308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1308

Therefore, the GCF of Fractions 5904/12,7263/218 is 9/1308

Least Common Multiple of 12,218 with GCF Formula

Least Common Multiple of 12,218 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 12,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,218) = 2

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

GCF(12,218) x common factors =2 x 1 = 2

LCM(12,218) = ( 12 × 218 ) / 2

LCM(12,218) = 2616 / 2

LCM(12,218) = 1308


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 5904/12, 7263/218

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 5904/12, 7263/218?

Answer: GCF of Numerators as per given numbers 5904/12, 7263/218 is

GCF of Numerators i.e. for 5904,7263 is 9

LCM of denominators i.e. for 12,218 is 1308.

Thus, GCF of Fractions is 9/1308.Finally, GCF of Fractions for 5904/12, 7263/218 is 9/1308.