Greatest Common Factor of 991/227, 401/326, 233/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 991/227, 401/326, 233/395

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 991/227,401/326,233/395

Given fractions are 991/227,401/326,233/395

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 991,401,233

Greatest Common Factor of Numerators i.e. GCF of 991,401,233 is 1 .

LCM of Denominators means LCM of 227,326,395 as per the given fractions.

LCM of 227,326,395 is 29230790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,401,233

GCF of Fractions 991/227,401/326,233/395 is 1/29230790

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

Greatest Common Factor of 991,401,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,401,233 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 991,401,233 . The biggest common factor number is the GCF number.
So the greatest common factor 991,401,233 is 1.


Lets's calculate LCM of 227,326,395

Given numbers has no common factors except 1. So, there LCM is their product i.e 29230790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29230790

Therefore, the GCF of Fractions 991/227,401/326,233/395 is 1/29230790

Least Common Multiple of 227,326,395 with GCF Formula

Least Common Multiple of 227,326,395 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 227,326,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,326,395) = 1

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

GCF(227,326,395) x common factors =1 x 1 = 1

LCM(227,326,395) = ( 227 × 326 × 395 ) / 1

LCM(227,326,395) = 29230790 / 1

LCM(227,326,395) = 29230790


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 991/227, 401/326, 233/395

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 991/227, 401/326, 233/395?

Answer: GCF of Numerators as per given numbers 991/227, 401/326, 233/395 is

GCF of Numerators i.e. for 991,401,233 is 1

LCM of denominators i.e. for 227,326,395 is 29230790.

Thus, GCF of Fractions is 1/29230790.Finally, GCF of Fractions for 991/227, 401/326, 233/395 is 1/29230790.