Greatest Common Factor of 7824/374, 7389/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7824/374, 7389/854

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 7824/374,7389/854

Given fractions are 7824/374,7389/854

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 7824,7389

Greatest Common Factor of Numerators i.e. GCF of 7824,7389 is 3 .

LCM of Denominators means LCM of 374,854 as per the given fractions.

LCM of 374,854 is 159698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7824,7389

GCF of Fractions 7824/374,7389/854 is 3/159698

3 7824, 7389
2608, 2463

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

Greatest Common Factor of 7824,7389 By Matching Biggest Common Factor Method

Greatest Common Factor of 7824,7389 By Matching Biggest Common Factor Method

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Greatest Common Factor

We found the factors 7824,7389 . The biggest common factor number is the GCF number.
So the greatest common factor 7824,7389 is 3.

Lets's calculate LCM of 374,854

2 374, 854
187, 427

∴ So the LCM of the given numbers is 2 x 187 x 427 = 159698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159698

Therefore, the GCF of Fractions 7824/374,7389/854 is 3/159698

Least Common Multiple of 374,854 with GCF Formula

Least Common Multiple of 374,854 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 374,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,854) = 2

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

GCF(374,854) x common factors =2 x 1 = 2

LCM(374,854) = ( 374 × 854 ) / 2

LCM(374,854) = 319396 / 2

LCM(374,854) = 159698


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 7824/374, 7389/854

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 7824/374, 7389/854?

Answer: GCF of Numerators as per given numbers 7824/374, 7389/854 is

GCF of Numerators i.e. for 7824,7389 is 3

LCM of denominators i.e. for 374,854 is 159698.

Thus, GCF of Fractions is 3/159698.Finally, GCF of Fractions for 7824/374, 7389/854 is 3/159698.