Greatest Common Factor of 711/18, 4120/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/18, 4120/591

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 711/18,4120/591

Given fractions are 711/18,4120/591

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 711,4120

Greatest Common Factor of Numerators i.e. GCF of 711,4120 is 1 .

LCM of Denominators means LCM of 18,591 as per the given fractions.

LCM of 18,591 is 3546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,4120

GCF of Fractions 711/18,4120/591 is 1/3546

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 711,4120 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,4120 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 711,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 711,4120 is 1.

Lets's calculate LCM of 18,591

3 18, 591
6, 197

∴ So the LCM of the given numbers is 3 x 6 x 197 = 3546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3546

Therefore, the GCF of Fractions 711/18,4120/591 is 1/3546

Least Common Multiple of 18,591 with GCF Formula

Least Common Multiple of 18,591 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 18,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,591) = 3

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

GCF(18,591) x common factors =3 x 1 = 3

LCM(18,591) = ( 18 × 591 ) / 3

LCM(18,591) = 10638 / 3

LCM(18,591) = 3546


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 711/18, 4120/591

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 711/18, 4120/591?

Answer: GCF of Numerators as per given numbers 711/18, 4120/591 is

GCF of Numerators i.e. for 711,4120 is 1

LCM of denominators i.e. for 18,591 is 3546.

Thus, GCF of Fractions is 1/3546.Finally, GCF of Fractions for 711/18, 4120/591 is 1/3546.