Greatest Common Factor of 2438/990, 5988/6845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2438/990, 5988/6845

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 2438/990,5988/6845

Given fractions are 2438/990,5988/6845

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 2438,5988

Greatest Common Factor of Numerators i.e. GCF of 2438,5988 is 2 .

LCM of Denominators means LCM of 990,6845 as per the given fractions.

LCM of 990,6845 is 1355310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2438,5988

GCF of Fractions 2438/990,5988/6845 is 2/1355310

2 2438, 5988
1219, 2994

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

Greatest Common Factor of 2438,5988 By Matching Biggest Common Factor Method

Greatest Common Factor of 2438,5988 By Matching Biggest Common Factor Method

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1,2,23,46,53,106,1219,2438

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1,2,3,4,6,12,499,998,1497,1996,2994,5988

Greatest Common Factor

We found the factors 2438,5988 . The biggest common factor number is the GCF number.
So the greatest common factor 2438,5988 is 2.

Lets's calculate LCM of 990,6845

5 990, 6845
198, 1369

∴ So the LCM of the given numbers is 5 x 198 x 1369 = 1355310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1355310

Therefore, the GCF of Fractions 2438/990,5988/6845 is 2/1355310

Least Common Multiple of 990,6845 with GCF Formula

Least Common Multiple of 990,6845 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 990,6845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,6845) = 5

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

GCF(990,6845) x common factors =5 x 1 = 5

LCM(990,6845) = ( 990 × 6845 ) / 5

LCM(990,6845) = 6776550 / 5

LCM(990,6845) = 1355310


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 2438/990, 5988/6845

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 2438/990, 5988/6845?

Answer: GCF of Numerators as per given numbers 2438/990, 5988/6845 is

GCF of Numerators i.e. for 2438,5988 is 2

LCM of denominators i.e. for 990,6845 is 1355310.

Thus, GCF of Fractions is 2/1355310.Finally, GCF of Fractions for 2438/990, 5988/6845 is 2/1355310.