Greatest Common Factor of 5106/564, 5809/3607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5106/564, 5809/3607

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 5106/564,5809/3607

Given fractions are 5106/564,5809/3607

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 5106,5809

Greatest Common Factor of Numerators i.e. GCF of 5106,5809 is 37 .

LCM of Denominators means LCM of 564,3607 as per the given fractions.

LCM of 564,3607 is 2034348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5106,5809

GCF of Fractions 5106/564,5809/3607 is 37/2034348

37 5106, 5809
138, 157

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 5106,5809 By Matching Biggest Common Factor Method

Greatest Common Factor of 5106,5809 By Matching Biggest Common Factor Method

Factors of 5106

List of positive integer factors of 5106 that divides 5106 without a remainder.

1,2,3,6,23,37,46,69,74,111,138,222,851,1702,2553,5106

Factors of 5809

List of positive integer factors of 5809 that divides 5809 without a remainder.

1,37,157,5809

Greatest Common Factor

We found the factors 5106,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 5106,5809 is 37.

Lets's calculate LCM of 564,3607

Given numbers has no common factors except 1. So, there LCM is their product i.e 2034348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/2034348

Therefore, the GCF of Fractions 5106/564,5809/3607 is 37/2034348

Least Common Multiple of 564,3607 with GCF Formula

Least Common Multiple of 564,3607 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 564,3607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,3607) = 1

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

GCF(564,3607) x common factors =1 x 1 = 1

LCM(564,3607) = ( 564 × 3607 ) / 1

LCM(564,3607) = 2034348 / 1

LCM(564,3607) = 2034348


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 5106/564, 5809/3607

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 5106/564, 5809/3607?

Answer: GCF of Numerators as per given numbers 5106/564, 5809/3607 is

GCF of Numerators i.e. for 5106,5809 is 37

LCM of denominators i.e. for 564,3607 is 2034348.

Thus, GCF of Fractions is 37/2034348.Finally, GCF of Fractions for 5106/564, 5809/3607 is 37/2034348.