Greatest Common Factor of 7419/831, 2394/2379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7419/831, 2394/2379

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 7419/831,2394/2379

Given fractions are 7419/831,2394/2379

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 7419,2394

Greatest Common Factor of Numerators i.e. GCF of 7419,2394 is 3 .

LCM of Denominators means LCM of 831,2379 as per the given fractions.

LCM of 831,2379 is 658983 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7419,2394

GCF of Fractions 7419/831,2394/2379 is 3/658983

3 7419, 2394
2473, 798

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7419,2394 By Matching Biggest Common Factor Method

Greatest Common Factor of 7419,2394 By Matching Biggest Common Factor Method

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1,3,2473,7419

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394

Greatest Common Factor

We found the factors 7419,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 7419,2394 is 3.

Lets's calculate LCM of 831,2379

3 831, 2379
277, 793

∴ So the LCM of the given numbers is 3 x 277 x 793 = 658983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/658983

Therefore, the GCF of Fractions 7419/831,2394/2379 is 3/658983

Least Common Multiple of 831,2379 with GCF Formula

Least Common Multiple of 831,2379 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 831,2379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,2379) = 3

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

GCF(831,2379) x common factors =3 x 1 = 3

LCM(831,2379) = ( 831 × 2379 ) / 3

LCM(831,2379) = 1976949 / 3

LCM(831,2379) = 658983


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 7419/831, 2394/2379

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 7419/831, 2394/2379?

Answer: GCF of Numerators as per given numbers 7419/831, 2394/2379 is

GCF of Numerators i.e. for 7419,2394 is 3

LCM of denominators i.e. for 831,2379 is 658983.

Thus, GCF of Fractions is 3/658983.Finally, GCF of Fractions for 7419/831, 2394/2379 is 3/658983.