Greatest Common Factor of 5564/39, 3084/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5564/39, 3084/798

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 5564/39,3084/798

Given fractions are 5564/39,3084/798

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 5564,3084

Greatest Common Factor of Numerators i.e. GCF of 5564,3084 is 4 .

LCM of Denominators means LCM of 39,798 as per the given fractions.

LCM of 39,798 is 10374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5564,3084

GCF of Fractions 5564/39,3084/798 is 4/10374

2 5564, 3084
2 2782, 1542
1391, 771

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

Greatest Common Factor of 5564,3084 By Matching Biggest Common Factor Method

Greatest Common Factor of 5564,3084 By Matching Biggest Common Factor Method

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1,2,4,13,26,52,107,214,428,1391,2782,5564

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors 5564,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 5564,3084 is 4.

Lets's calculate LCM of 39,798

3 39, 798
13, 266

∴ So the LCM of the given numbers is 3 x 13 x 266 = 10374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10374

Therefore, the GCF of Fractions 5564/39,3084/798 is 4/10374

Least Common Multiple of 39,798 with GCF Formula

Least Common Multiple of 39,798 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 39,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,798) = 3

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

GCF(39,798) x common factors =3 x 1 = 3

LCM(39,798) = ( 39 × 798 ) / 3

LCM(39,798) = 31122 / 3

LCM(39,798) = 10374


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 5564/39, 3084/798

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 5564/39, 3084/798?

Answer: GCF of Numerators as per given numbers 5564/39, 3084/798 is

GCF of Numerators i.e. for 5564,3084 is 4

LCM of denominators i.e. for 39,798 is 10374.

Thus, GCF of Fractions is 4/10374.Finally, GCF of Fractions for 5564/39, 3084/798 is 4/10374.