Greatest Common Factor of 5184/198, 2928/8902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5184/198, 2928/8902

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 5184/198,2928/8902

Given fractions are 5184/198,2928/8902

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 5184,2928

Greatest Common Factor of Numerators i.e. GCF of 5184,2928 is 48 .

LCM of Denominators means LCM of 198,8902 as per the given fractions.

LCM of 198,8902 is 881298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5184,2928

GCF of Fractions 5184/198,2928/8902 is 48/881298

2 5184, 2928
2 2592, 1464
2 1296, 732
2 648, 366
3 324, 183
108, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 5184,2928 By Matching Biggest Common Factor Method

Greatest Common Factor of 5184,2928 By Matching Biggest Common Factor Method

Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Greatest Common Factor

We found the factors 5184,2928 . The biggest common factor number is the GCF number.
So the greatest common factor 5184,2928 is 48.

Lets's calculate LCM of 198,8902

2 198, 8902
99, 4451

∴ So the LCM of the given numbers is 2 x 99 x 4451 = 881298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/881298

Therefore, the GCF of Fractions 5184/198,2928/8902 is 48/881298

Least Common Multiple of 198,8902 with GCF Formula

Least Common Multiple of 198,8902 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 198,8902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,8902) = 2

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

GCF(198,8902) x common factors =2 x 1 = 2

LCM(198,8902) = ( 198 × 8902 ) / 2

LCM(198,8902) = 1762596 / 2

LCM(198,8902) = 881298


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 5184/198, 2928/8902

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 5184/198, 2928/8902?

Answer: GCF of Numerators as per given numbers 5184/198, 2928/8902 is

GCF of Numerators i.e. for 5184,2928 is 48

LCM of denominators i.e. for 198,8902 is 881298.

Thus, GCF of Fractions is 48/881298.Finally, GCF of Fractions for 5184/198, 2928/8902 is 48/881298.