Greatest Common Factor of 3873/87, 8505/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3873/87, 8505/879

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 3873/87,8505/879

Given fractions are 3873/87,8505/879

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 3873,8505

Greatest Common Factor of Numerators i.e. GCF of 3873,8505 is 3 .

LCM of Denominators means LCM of 87,879 as per the given fractions.

LCM of 87,879 is 25491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3873,8505

GCF of Fractions 3873/87,8505/879 is 3/25491

3 3873, 8505
1291, 2835

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

Greatest Common Factor of 3873,8505 By Matching Biggest Common Factor Method

Greatest Common Factor of 3873,8505 By Matching Biggest Common Factor Method

Factors of 3873

List of positive integer factors of 3873 that divides 3873 without a remainder.

1,3,1291,3873

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors 3873,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 3873,8505 is 3.

Lets's calculate LCM of 87,879

3 87, 879
29, 293

∴ So the LCM of the given numbers is 3 x 29 x 293 = 25491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25491

Therefore, the GCF of Fractions 3873/87,8505/879 is 3/25491

Least Common Multiple of 87,879 with GCF Formula

Least Common Multiple of 87,879 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 87,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,879) = 3

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

GCF(87,879) x common factors =3 x 1 = 3

LCM(87,879) = ( 87 × 879 ) / 3

LCM(87,879) = 76473 / 3

LCM(87,879) = 25491


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 3873/87, 8505/879

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 3873/87, 8505/879?

Answer: GCF of Numerators as per given numbers 3873/87, 8505/879 is

GCF of Numerators i.e. for 3873,8505 is 3

LCM of denominators i.e. for 87,879 is 25491.

Thus, GCF of Fractions is 3/25491.Finally, GCF of Fractions for 3873/87, 8505/879 is 3/25491.