Greatest Common Factor of 6008/230, 2998/4030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6008/230, 2998/4030

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 6008/230,2998/4030

Given fractions are 6008/230,2998/4030

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 6008,2998

Greatest Common Factor of Numerators i.e. GCF of 6008,2998 is 2 .

LCM of Denominators means LCM of 230,4030 as per the given fractions.

LCM of 230,4030 is 92690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6008,2998

GCF of Fractions 6008/230,2998/4030 is 2/92690

2 6008, 2998
3004, 1499

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

Greatest Common Factor of 6008,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 6008,2998 By Matching Biggest Common Factor Method

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 6008,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 6008,2998 is 2.

Lets's calculate LCM of 230,4030

2 230, 4030
5 115, 2015
23, 403

∴ So the LCM of the given numbers is 2 x 5 x 23 x 403 = 92690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92690

Therefore, the GCF of Fractions 6008/230,2998/4030 is 2/92690

Least Common Multiple of 230,4030 with GCF Formula

Least Common Multiple of 230,4030 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 230,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,4030) = 10

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

GCF(230,4030) x common factors =10 x 1 = 10

LCM(230,4030) = ( 230 × 4030 ) / 10

LCM(230,4030) = 926900 / 10

LCM(230,4030) = 92690


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 6008/230, 2998/4030

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 6008/230, 2998/4030?

Answer: GCF of Numerators as per given numbers 6008/230, 2998/4030 is

GCF of Numerators i.e. for 6008,2998 is 2

LCM of denominators i.e. for 230,4030 is 92690.

Thus, GCF of Fractions is 2/92690.Finally, GCF of Fractions for 6008/230, 2998/4030 is 2/92690.