Greatest Common Factor of 5124/99, 5120/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5124/99, 5120/294

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 5124/99,5120/294

Given fractions are 5124/99,5120/294

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 5124,5120

Greatest Common Factor of Numerators i.e. GCF of 5124,5120 is 4 .

LCM of Denominators means LCM of 99,294 as per the given fractions.

LCM of 99,294 is 9702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5124,5120

GCF of Fractions 5124/99,5120/294 is 4/9702

2 5124, 5120
2 2562, 2560
1281, 1280

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5124,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 5124,5120 By Matching Biggest Common Factor Method

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 5124,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,5120 is 4.

Lets's calculate LCM of 99,294

3 99, 294
33, 98

∴ So the LCM of the given numbers is 3 x 33 x 98 = 9702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9702

Therefore, the GCF of Fractions 5124/99,5120/294 is 4/9702

Least Common Multiple of 99,294 with GCF Formula

Least Common Multiple of 99,294 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 99,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,294) = 3

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

GCF(99,294) x common factors =3 x 1 = 3

LCM(99,294) = ( 99 × 294 ) / 3

LCM(99,294) = 29106 / 3

LCM(99,294) = 9702


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 5124/99, 5120/294

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 5124/99, 5120/294?

Answer: GCF of Numerators as per given numbers 5124/99, 5120/294 is

GCF of Numerators i.e. for 5124,5120 is 4

LCM of denominators i.e. for 99,294 is 9702.

Thus, GCF of Fractions is 4/9702.Finally, GCF of Fractions for 5124/99, 5120/294 is 4/9702.