Greatest Common Factor of 7317/394, 4245/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7317/394, 4245/368

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 7317/394,4245/368

Given fractions are 7317/394,4245/368

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 7317,4245

Greatest Common Factor of Numerators i.e. GCF of 7317,4245 is 3 .

LCM of Denominators means LCM of 394,368 as per the given fractions.

LCM of 394,368 is 72496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7317,4245

GCF of Fractions 7317/394,4245/368 is 3/72496

3 7317, 4245
2439, 1415

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7317,4245 By Matching Biggest Common Factor Method

Greatest Common Factor of 7317,4245 By Matching Biggest Common Factor Method

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Factors of 4245

List of positive integer factors of 4245 that divides 4245 without a remainder.

1,3,5,15,283,849,1415,4245

Greatest Common Factor

We found the factors 7317,4245 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,4245 is 3.

Lets's calculate LCM of 394,368

2 394, 368
197, 184

∴ So the LCM of the given numbers is 2 x 197 x 184 = 72496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72496

Therefore, the GCF of Fractions 7317/394,4245/368 is 3/72496

Least Common Multiple of 394,368 with GCF Formula

Least Common Multiple of 394,368 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 394,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,368) = 2

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

GCF(394,368) x common factors =2 x 1 = 2

LCM(394,368) = ( 394 × 368 ) / 2

LCM(394,368) = 144992 / 2

LCM(394,368) = 72496


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 7317/394, 4245/368

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 7317/394, 4245/368?

Answer: GCF of Numerators as per given numbers 7317/394, 4245/368 is

GCF of Numerators i.e. for 7317,4245 is 3

LCM of denominators i.e. for 394,368 is 72496.

Thus, GCF of Fractions is 3/72496.Finally, GCF of Fractions for 7317/394, 4245/368 is 3/72496.