Greatest Common Factor of 8873/783, 3798/4089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8873/783, 3798/4089

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 8873/783,3798/4089

Given fractions are 8873/783,3798/4089

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 8873,3798

Greatest Common Factor of Numerators i.e. GCF of 8873,3798 is 1 .

LCM of Denominators means LCM of 783,4089 as per the given fractions.

LCM of 783,4089 is 36801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8873,3798

GCF of Fractions 8873/783,3798/4089 is 1/36801

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

Greatest Common Factor of 8873,3798 By Matching Biggest Common Factor Method

Greatest Common Factor of 8873,3798 By Matching Biggest Common Factor Method

Factors of 8873

List of positive integer factors of 8873 that divides 8873 without a remainder.

1,19,467,8873

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors 8873,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 8873,3798 is 1.

Lets's calculate LCM of 783,4089

3 783, 4089
29 261, 1363
9, 47

∴ So the LCM of the given numbers is 3 x 29 x 9 x 47 = 36801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36801

Therefore, the GCF of Fractions 8873/783,3798/4089 is 1/36801

Least Common Multiple of 783,4089 with GCF Formula

Least Common Multiple of 783,4089 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 783,4089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,4089) = 87

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

GCF(783,4089) x common factors =87 x 1 = 87

LCM(783,4089) = ( 783 × 4089 ) / 87

LCM(783,4089) = 3201687 / 87

LCM(783,4089) = 36801


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 8873/783, 3798/4089

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 8873/783, 3798/4089?

Answer: GCF of Numerators as per given numbers 8873/783, 3798/4089 is

GCF of Numerators i.e. for 8873,3798 is 1

LCM of denominators i.e. for 783,4089 is 36801.

Thus, GCF of Fractions is 1/36801.Finally, GCF of Fractions for 8873/783, 3798/4089 is 1/36801.