Greatest Common Factor of 1038/479, 8142/3427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1038/479, 8142/3427

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 1038/479,8142/3427

Given fractions are 1038/479,8142/3427

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 1038,8142

Greatest Common Factor of Numerators i.e. GCF of 1038,8142 is 6 .

LCM of Denominators means LCM of 479,3427 as per the given fractions.

LCM of 479,3427 is 1641533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1038,8142

GCF of Fractions 1038/479,8142/3427 is 6/1641533

2 1038, 8142
3 519, 4071
173, 1357

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1038,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1038,8142 By Matching Biggest Common Factor Method

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1,2,3,6,173,346,519,1038

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 1038,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 1038,8142 is 6.

Lets's calculate LCM of 479,3427

Given numbers has no common factors except 1. So, there LCM is their product i.e 1641533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1641533

Therefore, the GCF of Fractions 1038/479,8142/3427 is 6/1641533

Least Common Multiple of 479,3427 with GCF Formula

Least Common Multiple of 479,3427 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 479,3427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,3427) = 1

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

GCF(479,3427) x common factors =1 x 1 = 1

LCM(479,3427) = ( 479 × 3427 ) / 1

LCM(479,3427) = 1641533 / 1

LCM(479,3427) = 1641533


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 1038/479, 8142/3427

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 1038/479, 8142/3427?

Answer: GCF of Numerators as per given numbers 1038/479, 8142/3427 is

GCF of Numerators i.e. for 1038,8142 is 6

LCM of denominators i.e. for 479,3427 is 1641533.

Thus, GCF of Fractions is 6/1641533.Finally, GCF of Fractions for 1038/479, 8142/3427 is 6/1641533.