Greatest Common Factor of 210/786, 6936/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/786, 6936/591

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 210/786,6936/591

Given fractions are 210/786,6936/591

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 210,6936

Greatest Common Factor of Numerators i.e. GCF of 210,6936 is 6 .

LCM of Denominators means LCM of 786,591 as per the given fractions.

LCM of 786,591 is 154842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,6936

GCF of Fractions 210/786,6936/591 is 6/154842

2 210, 6936
3 105, 3468
35, 1156

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

Greatest Common Factor of 210,6936 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,6936 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Greatest Common Factor

We found the factors 210,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 210,6936 is 6.

Lets's calculate LCM of 786,591

3 786, 591
262, 197

∴ So the LCM of the given numbers is 3 x 262 x 197 = 154842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/154842

Therefore, the GCF of Fractions 210/786,6936/591 is 6/154842

Least Common Multiple of 786,591 with GCF Formula

Least Common Multiple of 786,591 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 786,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,591) = 3

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

GCF(786,591) x common factors =3 x 1 = 3

LCM(786,591) = ( 786 × 591 ) / 3

LCM(786,591) = 464526 / 3

LCM(786,591) = 154842


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 210/786, 6936/591

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 210/786, 6936/591?

Answer: GCF of Numerators as per given numbers 210/786, 6936/591 is

GCF of Numerators i.e. for 210,6936 is 6

LCM of denominators i.e. for 786,591 is 154842.

Thus, GCF of Fractions is 6/154842.Finally, GCF of Fractions for 210/786, 6936/591 is 6/154842.