Greatest Common Factor of 191/29, 289/29, 377/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 191/29, 289/29, 377/407

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 191/29,289/29,377/407

Given fractions are 191/29,289/29,377/407

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 191,289,377

Greatest Common Factor of Numerators i.e. GCF of 191,289,377 is 1 .

LCM of Denominators means LCM of 29,29,407 as per the given fractions.

LCM of 29,29,407 is 11803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 191,289,377

GCF of Fractions 191/29,289/29,377/407 is 1/11803

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

Greatest Common Factor of 191,289,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,289,377 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 191,289,377 . The biggest common factor number is the GCF number.
So the greatest common factor 191,289,377 is 1.

Lets's calculate LCM of 29,29,407

29 29, 29, 407
1, 1, 407

∴ So the LCM of the given numbers is 29 x 1 x 1 x 407 = 11803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11803

Therefore, the GCF of Fractions 191/29,289/29,377/407 is 1/11803

Least Common Multiple of 29,29,407 with GCF Formula

Least Common Multiple of 29,29,407 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 29,29,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,29,407) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,29,407) x common factors =1 x 29 = 29

LCM(29,29,407) = ( 29 × 29 × 407 ) / 29

LCM(29,29,407) = 342287 / 29

LCM(29,29,407) = 11803


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 191/29, 289/29, 377/407

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 191/29, 289/29, 377/407?

Answer: GCF of Numerators as per given numbers 191/29, 289/29, 377/407 is

GCF of Numerators i.e. for 191,289,377 is 1

LCM of denominators i.e. for 29,29,407 is 11803.

Thus, GCF of Fractions is 1/11803.Finally, GCF of Fractions for 191/29, 289/29, 377/407 is 1/11803.