Greatest Common Factor of 8730/200, 2438/3904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8730/200, 2438/3904

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 8730/200,2438/3904

Given fractions are 8730/200,2438/3904

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 8730,2438

Greatest Common Factor of Numerators i.e. GCF of 8730,2438 is 2 .

LCM of Denominators means LCM of 200,3904 as per the given fractions.

LCM of 200,3904 is 97600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8730,2438

GCF of Fractions 8730/200,2438/3904 is 2/97600

2 8730, 2438
4365, 1219

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

Greatest Common Factor of 8730,2438 By Matching Biggest Common Factor Method

Greatest Common Factor of 8730,2438 By Matching Biggest Common Factor Method

Factors of 8730

List of positive integer factors of 8730 that divides 8730 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730

Factors of 2438

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

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

Greatest Common Factor

We found the factors 8730,2438 . The biggest common factor number is the GCF number.
So the greatest common factor 8730,2438 is 2.

Lets's calculate LCM of 200,3904

2 200, 3904
2 100, 1952
2 50, 976
25, 488

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 488 = 97600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97600

Therefore, the GCF of Fractions 8730/200,2438/3904 is 2/97600

Least Common Multiple of 200,3904 with GCF Formula

Least Common Multiple of 200,3904 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 200,3904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,3904) = 8

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

GCF(200,3904) x common factors =8 x 1 = 8

LCM(200,3904) = ( 200 × 3904 ) / 8

LCM(200,3904) = 780800 / 8

LCM(200,3904) = 97600


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 8730/200, 2438/3904

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 8730/200, 2438/3904?

Answer: GCF of Numerators as per given numbers 8730/200, 2438/3904 is

GCF of Numerators i.e. for 8730,2438 is 2

LCM of denominators i.e. for 200,3904 is 97600.

Thus, GCF of Fractions is 2/97600.Finally, GCF of Fractions for 8730/200, 2438/3904 is 2/97600.