Greatest Common Factor of 6694/453, 6910/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6694/453, 6910/180

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 6694/453,6910/180

Given fractions are 6694/453,6910/180

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 6694,6910

Greatest Common Factor of Numerators i.e. GCF of 6694,6910 is 2 .

LCM of Denominators means LCM of 453,180 as per the given fractions.

LCM of 453,180 is 27180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6694,6910

GCF of Fractions 6694/453,6910/180 is 2/27180

2 6694, 6910
3347, 3455

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

Greatest Common Factor of 6694,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 6694,6910 By Matching Biggest Common Factor Method

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1,2,3347,6694

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 6694,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 6694,6910 is 2.

Lets's calculate LCM of 453,180

3 453, 180
151, 60

∴ So the LCM of the given numbers is 3 x 151 x 60 = 27180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27180

Therefore, the GCF of Fractions 6694/453,6910/180 is 2/27180

Least Common Multiple of 453,180 with GCF Formula

Least Common Multiple of 453,180 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 453,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,180) = 3

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

GCF(453,180) x common factors =3 x 1 = 3

LCM(453,180) = ( 453 × 180 ) / 3

LCM(453,180) = 81540 / 3

LCM(453,180) = 27180


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 6694/453, 6910/180

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 6694/453, 6910/180?

Answer: GCF of Numerators as per given numbers 6694/453, 6910/180 is

GCF of Numerators i.e. for 6694,6910 is 2

LCM of denominators i.e. for 453,180 is 27180.

Thus, GCF of Fractions is 2/27180.Finally, GCF of Fractions for 6694/453, 6910/180 is 2/27180.