Greatest Common Factor of 8160/36, 5118/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8160/36, 5118/759

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 8160/36,5118/759

Given fractions are 8160/36,5118/759

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 8160,5118

Greatest Common Factor of Numerators i.e. GCF of 8160,5118 is 6 .

LCM of Denominators means LCM of 36,759 as per the given fractions.

LCM of 36,759 is 9108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8160,5118

GCF of Fractions 8160/36,5118/759 is 6/9108

2 8160, 5118
3 4080, 2559
1360, 853

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8160,5118 By Matching Biggest Common Factor Method

Greatest Common Factor of 8160,5118 By Matching Biggest Common Factor Method

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

Factors of 5118

List of positive integer factors of 5118 that divides 5118 without a remainder.

1,2,3,6,853,1706,2559,5118

Greatest Common Factor

We found the factors 8160,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 8160,5118 is 6.

Lets's calculate LCM of 36,759

3 36, 759
12, 253

∴ So the LCM of the given numbers is 3 x 12 x 253 = 9108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9108

Therefore, the GCF of Fractions 8160/36,5118/759 is 6/9108

Least Common Multiple of 36,759 with GCF Formula

Least Common Multiple of 36,759 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 36,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,759) = 3

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

GCF(36,759) x common factors =3 x 1 = 3

LCM(36,759) = ( 36 × 759 ) / 3

LCM(36,759) = 27324 / 3

LCM(36,759) = 9108


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 8160/36, 5118/759

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 8160/36, 5118/759?

Answer: GCF of Numerators as per given numbers 8160/36, 5118/759 is

GCF of Numerators i.e. for 8160,5118 is 6

LCM of denominators i.e. for 36,759 is 9108.

Thus, GCF of Fractions is 6/9108.Finally, GCF of Fractions for 8160/36, 5118/759 is 6/9108.