Greatest Common Factor of 7304/879, 5230/7677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7304/879, 5230/7677

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 7304/879,5230/7677

Given fractions are 7304/879,5230/7677

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 7304,5230

Greatest Common Factor of Numerators i.e. GCF of 7304,5230 is 2 .

LCM of Denominators means LCM of 879,7677 as per the given fractions.

LCM of 879,7677 is 2249361 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7304,5230

GCF of Fractions 7304/879,5230/7677 is 2/2249361

2 7304, 5230
3652, 2615

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

Greatest Common Factor of 7304,5230 By Matching Biggest Common Factor Method

Greatest Common Factor of 7304,5230 By Matching Biggest Common Factor Method

Factors of 7304

List of positive integer factors of 7304 that divides 7304 without a remainder.

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1,2,5,10,523,1046,2615,5230

Greatest Common Factor

We found the factors 7304,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 7304,5230 is 2.

Lets's calculate LCM of 879,7677

3 879, 7677
293, 2559

∴ So the LCM of the given numbers is 3 x 293 x 2559 = 2249361

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2249361

Therefore, the GCF of Fractions 7304/879,5230/7677 is 2/2249361

Least Common Multiple of 879,7677 with GCF Formula

Least Common Multiple of 879,7677 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 879,7677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,7677) = 3

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

GCF(879,7677) x common factors =3 x 1 = 3

LCM(879,7677) = ( 879 × 7677 ) / 3

LCM(879,7677) = 6748083 / 3

LCM(879,7677) = 2249361


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 7304/879, 5230/7677

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 7304/879, 5230/7677?

Answer: GCF of Numerators as per given numbers 7304/879, 5230/7677 is

GCF of Numerators i.e. for 7304,5230 is 2

LCM of denominators i.e. for 879,7677 is 2249361.

Thus, GCF of Fractions is 2/2249361.Finally, GCF of Fractions for 7304/879, 5230/7677 is 2/2249361.