Greatest Common Factor of 2008/391, 6716/3860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2008/391, 6716/3860

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 2008/391,6716/3860

Given fractions are 2008/391,6716/3860

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 2008,6716

Greatest Common Factor of Numerators i.e. GCF of 2008,6716 is 4 .

LCM of Denominators means LCM of 391,3860 as per the given fractions.

LCM of 391,3860 is 1509260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2008,6716

GCF of Fractions 2008/391,6716/3860 is 4/1509260

2 2008, 6716
2 1004, 3358
502, 1679

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2008,6716 By Matching Biggest Common Factor Method

Greatest Common Factor of 2008,6716 By Matching Biggest Common Factor Method

Factors of 2008

List of positive integer factors of 2008 that divides 2008 without a remainder.

1,2,4,8,251,502,1004,2008

Factors of 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors 2008,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,6716 is 4.

Lets's calculate LCM of 391,3860

Given numbers has no common factors except 1. So, there LCM is their product i.e 1509260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1509260

Therefore, the GCF of Fractions 2008/391,6716/3860 is 4/1509260

Least Common Multiple of 391,3860 with GCF Formula

Least Common Multiple of 391,3860 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 391,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,3860) = 1

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

GCF(391,3860) x common factors =1 x 1 = 1

LCM(391,3860) = ( 391 × 3860 ) / 1

LCM(391,3860) = 1509260 / 1

LCM(391,3860) = 1509260


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 2008/391, 6716/3860

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 2008/391, 6716/3860?

Answer: GCF of Numerators as per given numbers 2008/391, 6716/3860 is

GCF of Numerators i.e. for 2008,6716 is 4

LCM of denominators i.e. for 391,3860 is 1509260.

Thus, GCF of Fractions is 4/1509260.Finally, GCF of Fractions for 2008/391, 6716/3860 is 4/1509260.