Greatest Common Factor of 6478/684, 4083/7878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6478/684, 4083/7878

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 6478/684,4083/7878

Given fractions are 6478/684,4083/7878

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 6478,4083

Greatest Common Factor of Numerators i.e. GCF of 6478,4083 is 1 .

LCM of Denominators means LCM of 684,7878 as per the given fractions.

LCM of 684,7878 is 898092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6478,4083

GCF of Fractions 6478/684,4083/7878 is 1/898092

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

Greatest Common Factor of 6478,4083 By Matching Biggest Common Factor Method

Greatest Common Factor of 6478,4083 By Matching Biggest Common Factor Method

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Factors of 4083

List of positive integer factors of 4083 that divides 4083 without a remainder.

1,3,1361,4083

Greatest Common Factor

We found the factors 6478,4083 . The biggest common factor number is the GCF number.
So the greatest common factor 6478,4083 is 1.

Lets's calculate LCM of 684,7878

2 684, 7878
3 342, 3939
114, 1313

∴ So the LCM of the given numbers is 2 x 3 x 114 x 1313 = 898092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/898092

Therefore, the GCF of Fractions 6478/684,4083/7878 is 1/898092

Least Common Multiple of 684,7878 with GCF Formula

Least Common Multiple of 684,7878 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 684,7878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,7878) = 6

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

GCF(684,7878) x common factors =6 x 1 = 6

LCM(684,7878) = ( 684 × 7878 ) / 6

LCM(684,7878) = 5388552 / 6

LCM(684,7878) = 898092


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 6478/684, 4083/7878

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 6478/684, 4083/7878?

Answer: GCF of Numerators as per given numbers 6478/684, 4083/7878 is

GCF of Numerators i.e. for 6478,4083 is 1

LCM of denominators i.e. for 684,7878 is 898092.

Thus, GCF of Fractions is 1/898092.Finally, GCF of Fractions for 6478/684, 4083/7878 is 1/898092.