Greatest Common Factor of 1188/13, 8565/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1188/13, 8565/878

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 1188/13,8565/878

Given fractions are 1188/13,8565/878

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 1188,8565

Greatest Common Factor of Numerators i.e. GCF of 1188,8565 is 3 .

LCM of Denominators means LCM of 13,878 as per the given fractions.

LCM of 13,878 is 11414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1188,8565

GCF of Fractions 1188/13,8565/878 is 3/11414

3 1188, 8565
396, 2855

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

Greatest Common Factor of 1188,8565 By Matching Biggest Common Factor Method

Greatest Common Factor of 1188,8565 By Matching Biggest Common Factor Method

Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Greatest Common Factor

We found the factors 1188,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 1188,8565 is 3.

Lets's calculate LCM of 13,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 11414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11414

Therefore, the GCF of Fractions 1188/13,8565/878 is 3/11414

Least Common Multiple of 13,878 with GCF Formula

Least Common Multiple of 13,878 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 13,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,878) = 1

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

GCF(13,878) x common factors =1 x 1 = 1

LCM(13,878) = ( 13 × 878 ) / 1

LCM(13,878) = 11414 / 1

LCM(13,878) = 11414


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 1188/13, 8565/878

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 1188/13, 8565/878?

Answer: GCF of Numerators as per given numbers 1188/13, 8565/878 is

GCF of Numerators i.e. for 1188,8565 is 3

LCM of denominators i.e. for 13,878 is 11414.

Thus, GCF of Fractions is 3/11414.Finally, GCF of Fractions for 1188/13, 8565/878 is 3/11414.