Greatest Common Factor of 2818/75, 2004/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2818/75, 2004/552

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 2818/75,2004/552

Given fractions are 2818/75,2004/552

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 2818,2004

Greatest Common Factor of Numerators i.e. GCF of 2818,2004 is 2 .

LCM of Denominators means LCM of 75,552 as per the given fractions.

LCM of 75,552 is 13800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2818,2004

GCF of Fractions 2818/75,2004/552 is 2/13800

2 2818, 2004
1409, 1002

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

Greatest Common Factor of 2818,2004 By Matching Biggest Common Factor Method

Greatest Common Factor of 2818,2004 By Matching Biggest Common Factor Method

Factors of 2818

List of positive integer factors of 2818 that divides 2818 without a remainder.

1,2,1409,2818

Factors of 2004

List of positive integer factors of 2004 that divides 2004 without a remainder.

1,2,3,4,6,12,167,334,501,668,1002,2004

Greatest Common Factor

We found the factors 2818,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 2818,2004 is 2.

Lets's calculate LCM of 75,552

3 75, 552
25, 184

∴ So the LCM of the given numbers is 3 x 25 x 184 = 13800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13800

Therefore, the GCF of Fractions 2818/75,2004/552 is 2/13800

Least Common Multiple of 75,552 with GCF Formula

Least Common Multiple of 75,552 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 75,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,552) = 3

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

GCF(75,552) x common factors =3 x 1 = 3

LCM(75,552) = ( 75 × 552 ) / 3

LCM(75,552) = 41400 / 3

LCM(75,552) = 13800


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 2818/75, 2004/552

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 2818/75, 2004/552?

Answer: GCF of Numerators as per given numbers 2818/75, 2004/552 is

GCF of Numerators i.e. for 2818,2004 is 2

LCM of denominators i.e. for 75,552 is 13800.

Thus, GCF of Fractions is 2/13800.Finally, GCF of Fractions for 2818/75, 2004/552 is 2/13800.