Greatest Common Factor of 7319/307, 4813/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7319/307, 4813/241

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 7319/307,4813/241

Given fractions are 7319/307,4813/241

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 7319,4813

Greatest Common Factor of Numerators i.e. GCF of 7319,4813 is 1 .

LCM of Denominators means LCM of 307,241 as per the given fractions.

LCM of 307,241 is 73987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7319,4813

GCF of Fractions 7319/307,4813/241 is 1/73987

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

Greatest Common Factor of 7319,4813 By Matching Biggest Common Factor Method

Greatest Common Factor of 7319,4813 By Matching Biggest Common Factor Method

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1,13,563,7319

Factors of 4813

List of positive integer factors of 4813 that divides 4813 without a remainder.

1,4813

Greatest Common Factor

We found the factors 7319,4813 . The biggest common factor number is the GCF number.
So the greatest common factor 7319,4813 is 1.

Lets's calculate LCM of 307,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 73987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73987

Therefore, the GCF of Fractions 7319/307,4813/241 is 1/73987

Least Common Multiple of 307,241 with GCF Formula

Least Common Multiple of 307,241 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 307,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,241) = 1

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

GCF(307,241) x common factors =1 x 1 = 1

LCM(307,241) = ( 307 × 241 ) / 1

LCM(307,241) = 73987 / 1

LCM(307,241) = 73987


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 7319/307, 4813/241

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 7319/307, 4813/241?

Answer: GCF of Numerators as per given numbers 7319/307, 4813/241 is

GCF of Numerators i.e. for 7319,4813 is 1

LCM of denominators i.e. for 307,241 is 73987.

Thus, GCF of Fractions is 1/73987.Finally, GCF of Fractions for 7319/307, 4813/241 is 1/73987.