Greatest Common Factor of 4844/274, 8319/1311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4844/274, 8319/1311

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 4844/274,8319/1311

Given fractions are 4844/274,8319/1311

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 4844,8319

Greatest Common Factor of Numerators i.e. GCF of 4844,8319 is 1 .

LCM of Denominators means LCM of 274,1311 as per the given fractions.

LCM of 274,1311 is 359214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4844,8319

GCF of Fractions 4844/274,8319/1311 is 1/359214

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

Greatest Common Factor of 4844,8319 By Matching Biggest Common Factor Method

Greatest Common Factor of 4844,8319 By Matching Biggest Common Factor Method

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1,3,47,59,141,177,2773,8319

Greatest Common Factor

We found the factors 4844,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,8319 is 1.

Lets's calculate LCM of 274,1311

Given numbers has no common factors except 1. So, there LCM is their product i.e 359214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359214

Therefore, the GCF of Fractions 4844/274,8319/1311 is 1/359214

Least Common Multiple of 274,1311 with GCF Formula

Least Common Multiple of 274,1311 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 274,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,1311) = 1

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

GCF(274,1311) x common factors =1 x 1 = 1

LCM(274,1311) = ( 274 × 1311 ) / 1

LCM(274,1311) = 359214 / 1

LCM(274,1311) = 359214


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 4844/274, 8319/1311

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 4844/274, 8319/1311?

Answer: GCF of Numerators as per given numbers 4844/274, 8319/1311 is

GCF of Numerators i.e. for 4844,8319 is 1

LCM of denominators i.e. for 274,1311 is 359214.

Thus, GCF of Fractions is 1/359214.Finally, GCF of Fractions for 4844/274, 8319/1311 is 1/359214.