Greatest Common Factor of 5124/878, 5264/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5124/878, 5264/196

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 5124/878,5264/196

Given fractions are 5124/878,5264/196

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 5124,5264

Greatest Common Factor of Numerators i.e. GCF of 5124,5264 is 28 .

LCM of Denominators means LCM of 878,196 as per the given fractions.

LCM of 878,196 is 86044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5124,5264

GCF of Fractions 5124/878,5264/196 is 28/86044

2 5124, 5264
2 2562, 2632
7 1281, 1316
183, 188

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 5124,5264 By Matching Biggest Common Factor Method

Greatest Common Factor of 5124,5264 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 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Greatest Common Factor

We found the factors 5124,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,5264 is 28.

Lets's calculate LCM of 878,196

2 878, 196
439, 98

∴ So the LCM of the given numbers is 2 x 439 x 98 = 86044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/86044

Therefore, the GCF of Fractions 5124/878,5264/196 is 28/86044

Least Common Multiple of 878,196 with GCF Formula

Least Common Multiple of 878,196 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 878,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,196) = 2

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

GCF(878,196) x common factors =2 x 1 = 2

LCM(878,196) = ( 878 × 196 ) / 2

LCM(878,196) = 172088 / 2

LCM(878,196) = 86044


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 5124/878, 5264/196

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 5124/878, 5264/196?

Answer: GCF of Numerators as per given numbers 5124/878, 5264/196 is

GCF of Numerators i.e. for 5124,5264 is 28

LCM of denominators i.e. for 878,196 is 86044.

Thus, GCF of Fractions is 28/86044.Finally, GCF of Fractions for 5124/878, 5264/196 is 28/86044.