Greatest Common Factor of 2007/366, 6848/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2007/366, 6848/249

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 2007/366,6848/249

Given fractions are 2007/366,6848/249

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 2007,6848

Greatest Common Factor of Numerators i.e. GCF of 2007,6848 is 1 .

LCM of Denominators means LCM of 366,249 as per the given fractions.

LCM of 366,249 is 30378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2007,6848

GCF of Fractions 2007/366,6848/249 is 1/30378

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

Greatest Common Factor of 2007,6848 By Matching Biggest Common Factor Method

Greatest Common Factor of 2007,6848 By Matching Biggest Common Factor Method

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Factors of 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848

Greatest Common Factor

We found the factors 2007,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,6848 is 1.

Lets's calculate LCM of 366,249

3 366, 249
122, 83

∴ So the LCM of the given numbers is 3 x 122 x 83 = 30378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30378

Therefore, the GCF of Fractions 2007/366,6848/249 is 1/30378

Least Common Multiple of 366,249 with GCF Formula

Least Common Multiple of 366,249 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 366,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,249) = 3

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

GCF(366,249) x common factors =3 x 1 = 3

LCM(366,249) = ( 366 × 249 ) / 3

LCM(366,249) = 91134 / 3

LCM(366,249) = 30378


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 2007/366, 6848/249

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 2007/366, 6848/249?

Answer: GCF of Numerators as per given numbers 2007/366, 6848/249 is

GCF of Numerators i.e. for 2007,6848 is 1

LCM of denominators i.e. for 366,249 is 30378.

Thus, GCF of Fractions is 1/30378.Finally, GCF of Fractions for 2007/366, 6848/249 is 1/30378.