Greatest Common Factor of 690/334, 2109/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/334, 2109/113

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 690/334,2109/113

Given fractions are 690/334,2109/113

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 690,2109

Greatest Common Factor of Numerators i.e. GCF of 690,2109 is 3 .

LCM of Denominators means LCM of 334,113 as per the given fractions.

LCM of 334,113 is 37742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,2109

GCF of Fractions 690/334,2109/113 is 3/37742

3 690, 2109
230, 703

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

Greatest Common Factor of 690,2109 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,2109 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 2109

List of positive integer factors of 2109 that divides 2109 without a remainder.

1,3,19,37,57,111,703,2109

Greatest Common Factor

We found the factors 690,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 690,2109 is 3.

Lets's calculate LCM of 334,113

Given numbers has no common factors except 1. So, there LCM is their product i.e 37742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37742

Therefore, the GCF of Fractions 690/334,2109/113 is 3/37742

Least Common Multiple of 334,113 with GCF Formula

Least Common Multiple of 334,113 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 334,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,113) = 1

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

GCF(334,113) x common factors =1 x 1 = 1

LCM(334,113) = ( 334 × 113 ) / 1

LCM(334,113) = 37742 / 1

LCM(334,113) = 37742


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 690/334, 2109/113

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 690/334, 2109/113?

Answer: GCF of Numerators as per given numbers 690/334, 2109/113 is

GCF of Numerators i.e. for 690,2109 is 3

LCM of denominators i.e. for 334,113 is 37742.

Thus, GCF of Fractions is 3/37742.Finally, GCF of Fractions for 690/334, 2109/113 is 3/37742.