Greatest Common Factor of 3174/43, 6806/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3174/43, 6806/321

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 3174/43,6806/321

Given fractions are 3174/43,6806/321

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 3174,6806

Greatest Common Factor of Numerators i.e. GCF of 3174,6806 is 2 .

LCM of Denominators means LCM of 43,321 as per the given fractions.

LCM of 43,321 is 13803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3174,6806

GCF of Fractions 3174/43,6806/321 is 2/13803

2 3174, 6806
1587, 3403

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3174,6806 By Matching Biggest Common Factor Method

Greatest Common Factor of 3174,6806 By Matching Biggest Common Factor Method

Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1,2,3,6,23,46,69,138,529,1058,1587,3174

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1,2,41,82,83,166,3403,6806

Greatest Common Factor

We found the factors 3174,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 3174,6806 is 2.

Lets's calculate LCM of 43,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 13803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13803

Therefore, the GCF of Fractions 3174/43,6806/321 is 2/13803

Least Common Multiple of 43,321 with GCF Formula

Least Common Multiple of 43,321 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 43,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,321) = 1

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

GCF(43,321) x common factors =1 x 1 = 1

LCM(43,321) = ( 43 × 321 ) / 1

LCM(43,321) = 13803 / 1

LCM(43,321) = 13803


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 3174/43, 6806/321

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 3174/43, 6806/321?

Answer: GCF of Numerators as per given numbers 3174/43, 6806/321 is

GCF of Numerators i.e. for 3174,6806 is 2

LCM of denominators i.e. for 43,321 is 13803.

Thus, GCF of Fractions is 2/13803.Finally, GCF of Fractions for 3174/43, 6806/321 is 2/13803.