Greatest Common Factor of 199/8739, 317/3306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/8739, 317/3306

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 199/8739,317/3306

Given fractions are 199/8739,317/3306

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 199,317

Greatest Common Factor of Numerators i.e. GCF of 199,317 is 1 .

LCM of Denominators means LCM of 8739,3306 as per the given fractions.

LCM of 8739,3306 is 9630378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,317

GCF of Fractions 199/8739,317/3306 is 1/9630378

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

Greatest Common Factor of 199,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,317 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 199,317 . The biggest common factor number is the GCF number.
So the greatest common factor 199,317 is 1.

Lets's calculate LCM of 8739,3306

3 8739, 3306
2913, 1102

∴ So the LCM of the given numbers is 3 x 2913 x 1102 = 9630378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9630378

Therefore, the GCF of Fractions 199/8739,317/3306 is 1/9630378

Least Common Multiple of 8739,3306 with GCF Formula

Least Common Multiple of 8739,3306 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 8739,3306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8739,3306) = 3

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

GCF(8739,3306) x common factors =3 x 1 = 3

LCM(8739,3306) = ( 8739 × 3306 ) / 3

LCM(8739,3306) = 28891134 / 3

LCM(8739,3306) = 9630378


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 199/8739, 317/3306

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 199/8739, 317/3306?

Answer: GCF of Numerators as per given numbers 199/8739, 317/3306 is

GCF of Numerators i.e. for 199,317 is 1

LCM of denominators i.e. for 8739,3306 is 9630378.

Thus, GCF of Fractions is 1/9630378.Finally, GCF of Fractions for 199/8739, 317/3306 is 1/9630378.