Greatest Common Factor of 191/168, 206/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 191/168, 206/613

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 191/168,206/613

Given fractions are 191/168,206/613

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 191,206

Greatest Common Factor of Numerators i.e. GCF of 191,206 is 1 .

LCM of Denominators means LCM of 168,613 as per the given fractions.

LCM of 168,613 is 102984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 191,206

GCF of Fractions 191/168,206/613 is 1/102984

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 191,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,206 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 191,206 . The biggest common factor number is the GCF number.
So the greatest common factor 191,206 is 1.


Lets's calculate LCM of 168,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 102984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102984

Therefore, the GCF of Fractions 191/168,206/613 is 1/102984

Least Common Multiple of 168,613 with GCF Formula

Least Common Multiple of 168,613 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 168,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,613) = 1

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

GCF(168,613) x common factors =1 x 1 = 1

LCM(168,613) = ( 168 × 613 ) / 1

LCM(168,613) = 102984 / 1

LCM(168,613) = 102984


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 191/168, 206/613

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 191/168, 206/613?

Answer: GCF of Numerators as per given numbers 191/168, 206/613 is

GCF of Numerators i.e. for 191,206 is 1

LCM of denominators i.e. for 168,613 is 102984.

Thus, GCF of Fractions is 1/102984.Finally, GCF of Fractions for 191/168, 206/613 is 1/102984.