Greatest Common Factor of 5160/12, 9838/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5160/12, 9838/232

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 5160/12,9838/232

Given fractions are 5160/12,9838/232

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 5160,9838

Greatest Common Factor of Numerators i.e. GCF of 5160,9838 is 2 .

LCM of Denominators means LCM of 12,232 as per the given fractions.

LCM of 12,232 is 696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5160,9838

GCF of Fractions 5160/12,9838/232 is 2/696

2 5160, 9838
2580, 4919

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

Greatest Common Factor of 5160,9838 By Matching Biggest Common Factor Method

Greatest Common Factor of 5160,9838 By Matching Biggest Common Factor Method

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Factors of 9838

List of positive integer factors of 9838 that divides 9838 without a remainder.

1,2,4919,9838

Greatest Common Factor

We found the factors 5160,9838 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,9838 is 2.

Lets's calculate LCM of 12,232

2 12, 232
2 6, 116
3, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 58 = 696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/696

Therefore, the GCF of Fractions 5160/12,9838/232 is 2/696

Least Common Multiple of 12,232 with GCF Formula

Least Common Multiple of 12,232 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 12,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,232) = 4

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

GCF(12,232) x common factors =4 x 1 = 4

LCM(12,232) = ( 12 × 232 ) / 4

LCM(12,232) = 2784 / 4

LCM(12,232) = 696


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 5160/12, 9838/232

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 5160/12, 9838/232?

Answer: GCF of Numerators as per given numbers 5160/12, 9838/232 is

GCF of Numerators i.e. for 5160,9838 is 2

LCM of denominators i.e. for 12,232 is 696.

Thus, GCF of Fractions is 2/696.Finally, GCF of Fractions for 5160/12, 9838/232 is 2/696.