Greatest Common Factor of 5181/43, 8019/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5181/43, 8019/730

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 5181/43,8019/730

Given fractions are 5181/43,8019/730

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 5181,8019

Greatest Common Factor of Numerators i.e. GCF of 5181,8019 is 33 .

LCM of Denominators means LCM of 43,730 as per the given fractions.

LCM of 43,730 is 31390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5181,8019

GCF of Fractions 5181/43,8019/730 is 33/31390

3 5181, 8019
11 1727, 2673
157, 243

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 5181,8019 By Matching Biggest Common Factor Method

Greatest Common Factor of 5181,8019 By Matching Biggest Common Factor Method

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1,3,11,33,157,471,1727,5181

Factors of 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1,3,9,11,27,33,81,99,243,297,729,891,2673,8019

Greatest Common Factor

We found the factors 5181,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,8019 is 33.

Lets's calculate LCM of 43,730

Given numbers has no common factors except 1. So, there LCM is their product i.e 31390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/31390

Therefore, the GCF of Fractions 5181/43,8019/730 is 33/31390

Least Common Multiple of 43,730 with GCF Formula

Least Common Multiple of 43,730 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 43,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,730) = 1

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

GCF(43,730) x common factors =1 x 1 = 1

LCM(43,730) = ( 43 × 730 ) / 1

LCM(43,730) = 31390 / 1

LCM(43,730) = 31390


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 5181/43, 8019/730

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 5181/43, 8019/730?

Answer: GCF of Numerators as per given numbers 5181/43, 8019/730 is

GCF of Numerators i.e. for 5181,8019 is 33

LCM of denominators i.e. for 43,730 is 31390.

Thus, GCF of Fractions is 33/31390.Finally, GCF of Fractions for 5181/43, 8019/730 is 33/31390.