Greatest Common Factor of 8307/186, 3109/1198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8307/186, 3109/1198

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 8307/186,3109/1198

Given fractions are 8307/186,3109/1198

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 8307,3109

Greatest Common Factor of Numerators i.e. GCF of 8307,3109 is 1 .

LCM of Denominators means LCM of 186,1198 as per the given fractions.

LCM of 186,1198 is 111414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8307,3109

GCF of Fractions 8307/186,3109/1198 is 1/111414

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

Greatest Common Factor of 8307,3109 By Matching Biggest Common Factor Method

Greatest Common Factor of 8307,3109 By Matching Biggest Common Factor Method

Factors of 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1,3,9,13,39,71,117,213,639,923,2769,8307

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1,3109

Greatest Common Factor

We found the factors 8307,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 8307,3109 is 1.

Lets's calculate LCM of 186,1198

2 186, 1198
93, 599

∴ So the LCM of the given numbers is 2 x 93 x 599 = 111414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111414

Therefore, the GCF of Fractions 8307/186,3109/1198 is 1/111414

Least Common Multiple of 186,1198 with GCF Formula

Least Common Multiple of 186,1198 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 186,1198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,1198) = 2

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

GCF(186,1198) x common factors =2 x 1 = 2

LCM(186,1198) = ( 186 × 1198 ) / 2

LCM(186,1198) = 222828 / 2

LCM(186,1198) = 111414


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 8307/186, 3109/1198

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 8307/186, 3109/1198?

Answer: GCF of Numerators as per given numbers 8307/186, 3109/1198 is

GCF of Numerators i.e. for 8307,3109 is 1

LCM of denominators i.e. for 186,1198 is 111414.

Thus, GCF of Fractions is 1/111414.Finally, GCF of Fractions for 8307/186, 3109/1198 is 1/111414.