Greatest Common Factor of 6381/409, 2970/3174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6381/409, 2970/3174

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 6381/409,2970/3174

Given fractions are 6381/409,2970/3174

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 6381,2970

Greatest Common Factor of Numerators i.e. GCF of 6381,2970 is 9 .

LCM of Denominators means LCM of 409,3174 as per the given fractions.

LCM of 409,3174 is 1298166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6381,2970

GCF of Fractions 6381/409,2970/3174 is 9/1298166

3 6381, 2970
3 2127, 990
709, 330

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6381,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 6381,2970 By Matching Biggest Common Factor Method

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1,3,9,709,2127,6381

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 6381,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 6381,2970 is 9.

Lets's calculate LCM of 409,3174

Given numbers has no common factors except 1. So, there LCM is their product i.e 1298166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1298166

Therefore, the GCF of Fractions 6381/409,2970/3174 is 9/1298166

Least Common Multiple of 409,3174 with GCF Formula

Least Common Multiple of 409,3174 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 409,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,3174) = 1

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

GCF(409,3174) x common factors =1 x 1 = 1

LCM(409,3174) = ( 409 × 3174 ) / 1

LCM(409,3174) = 1298166 / 1

LCM(409,3174) = 1298166


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 6381/409, 2970/3174

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 6381/409, 2970/3174?

Answer: GCF of Numerators as per given numbers 6381/409, 2970/3174 is

GCF of Numerators i.e. for 6381,2970 is 9

LCM of denominators i.e. for 409,3174 is 1298166.

Thus, GCF of Fractions is 9/1298166.Finally, GCF of Fractions for 6381/409, 2970/3174 is 9/1298166.