Greatest Common Factor of 6604/33, 3032/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6604/33, 3032/981

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 6604/33,3032/981

Given fractions are 6604/33,3032/981

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 6604,3032

Greatest Common Factor of Numerators i.e. GCF of 6604,3032 is 4 .

LCM of Denominators means LCM of 33,981 as per the given fractions.

LCM of 33,981 is 10791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6604,3032

GCF of Fractions 6604/33,3032/981 is 4/10791

2 6604, 3032
2 3302, 1516
1651, 758

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

Greatest Common Factor of 6604,3032 By Matching Biggest Common Factor Method

Greatest Common Factor of 6604,3032 By Matching Biggest Common Factor Method

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1,2,4,13,26,52,127,254,508,1651,3302,6604

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 6604,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,3032 is 4.

Lets's calculate LCM of 33,981

3 33, 981
11, 327

∴ So the LCM of the given numbers is 3 x 11 x 327 = 10791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10791

Therefore, the GCF of Fractions 6604/33,3032/981 is 4/10791

Least Common Multiple of 33,981 with GCF Formula

Least Common Multiple of 33,981 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 33,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,981) = 3

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

GCF(33,981) x common factors =3 x 1 = 3

LCM(33,981) = ( 33 × 981 ) / 3

LCM(33,981) = 32373 / 3

LCM(33,981) = 10791


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 6604/33, 3032/981

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 6604/33, 3032/981?

Answer: GCF of Numerators as per given numbers 6604/33, 3032/981 is

GCF of Numerators i.e. for 6604,3032 is 4

LCM of denominators i.e. for 33,981 is 10791.

Thus, GCF of Fractions is 4/10791.Finally, GCF of Fractions for 6604/33, 3032/981 is 4/10791.