Greatest Common Factor of 2429/12, 9160/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2429/12, 9160/873

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 2429/12,9160/873

Given fractions are 2429/12,9160/873

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 2429,9160

Greatest Common Factor of Numerators i.e. GCF of 2429,9160 is 1 .

LCM of Denominators means LCM of 12,873 as per the given fractions.

LCM of 12,873 is 3492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2429,9160

GCF of Fractions 2429/12,9160/873 is 1/3492

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2429,9160 By Matching Biggest Common Factor Method

Greatest Common Factor of 2429,9160 By Matching Biggest Common Factor Method

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1,7,347,2429

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Greatest Common Factor

We found the factors 2429,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 2429,9160 is 1.

Lets's calculate LCM of 12,873

3 12, 873
4, 291

∴ So the LCM of the given numbers is 3 x 4 x 291 = 3492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3492

Therefore, the GCF of Fractions 2429/12,9160/873 is 1/3492

Least Common Multiple of 12,873 with GCF Formula

Least Common Multiple of 12,873 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 12,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,873) = 3

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

GCF(12,873) x common factors =3 x 1 = 3

LCM(12,873) = ( 12 × 873 ) / 3

LCM(12,873) = 10476 / 3

LCM(12,873) = 3492


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 2429/12, 9160/873

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 2429/12, 9160/873?

Answer: GCF of Numerators as per given numbers 2429/12, 9160/873 is

GCF of Numerators i.e. for 2429,9160 is 1

LCM of denominators i.e. for 12,873 is 3492.

Thus, GCF of Fractions is 1/3492.Finally, GCF of Fractions for 2429/12, 9160/873 is 1/3492.