Greatest Common Factor of 1188/290, 6693/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1188/290, 6693/844

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 1188/290,6693/844

Given fractions are 1188/290,6693/844

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 1188,6693

Greatest Common Factor of Numerators i.e. GCF of 1188,6693 is 3 .

LCM of Denominators means LCM of 290,844 as per the given fractions.

LCM of 290,844 is 122380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1188,6693

GCF of Fractions 1188/290,6693/844 is 3/122380

3 1188, 6693
396, 2231

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

Greatest Common Factor of 1188,6693 By Matching Biggest Common Factor Method

Greatest Common Factor of 1188,6693 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 6693

List of positive integer factors of 6693 that divides 6693 without a remainder.

1,3,23,69,97,291,2231,6693

Greatest Common Factor

We found the factors 1188,6693 . The biggest common factor number is the GCF number.
So the greatest common factor 1188,6693 is 3.

Lets's calculate LCM of 290,844

2 290, 844
145, 422

∴ So the LCM of the given numbers is 2 x 145 x 422 = 122380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/122380

Therefore, the GCF of Fractions 1188/290,6693/844 is 3/122380

Least Common Multiple of 290,844 with GCF Formula

Least Common Multiple of 290,844 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 290,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,844) = 2

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

GCF(290,844) x common factors =2 x 1 = 2

LCM(290,844) = ( 290 × 844 ) / 2

LCM(290,844) = 244760 / 2

LCM(290,844) = 122380


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 1188/290, 6693/844

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 1188/290, 6693/844?

Answer: GCF of Numerators as per given numbers 1188/290, 6693/844 is

GCF of Numerators i.e. for 1188,6693 is 3

LCM of denominators i.e. for 290,844 is 122380.

Thus, GCF of Fractions is 3/122380.Finally, GCF of Fractions for 1188/290, 6693/844 is 3/122380.