Greatest Common Factor of 6690/358, 2109/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6690/358, 2109/749

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 6690/358,2109/749

Given fractions are 6690/358,2109/749

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 6690,2109

Greatest Common Factor of Numerators i.e. GCF of 6690,2109 is 3 .

LCM of Denominators means LCM of 358,749 as per the given fractions.

LCM of 358,749 is 268142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6690,2109

GCF of Fractions 6690/358,2109/749 is 3/268142

3 6690, 2109
2230, 703

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

Greatest Common Factor of 6690,2109 By Matching Biggest Common Factor Method

Greatest Common Factor of 6690,2109 By Matching Biggest Common Factor Method

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

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 6690,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 6690,2109 is 3.

Lets's calculate LCM of 358,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 268142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268142

Therefore, the GCF of Fractions 6690/358,2109/749 is 3/268142

Least Common Multiple of 358,749 with GCF Formula

Least Common Multiple of 358,749 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 358,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,749) = 1

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

GCF(358,749) x common factors =1 x 1 = 1

LCM(358,749) = ( 358 × 749 ) / 1

LCM(358,749) = 268142 / 1

LCM(358,749) = 268142


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 6690/358, 2109/749

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 6690/358, 2109/749?

Answer: GCF of Numerators as per given numbers 6690/358, 2109/749 is

GCF of Numerators i.e. for 6690,2109 is 3

LCM of denominators i.e. for 358,749 is 268142.

Thus, GCF of Fractions is 3/268142.Finally, GCF of Fractions for 6690/358, 2109/749 is 3/268142.