Greatest Common Factor of 4758/468, 6108/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4758/468, 6108/219

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 4758/468,6108/219

Given fractions are 4758/468,6108/219

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 4758,6108

Greatest Common Factor of Numerators i.e. GCF of 4758,6108 is 6 .

LCM of Denominators means LCM of 468,219 as per the given fractions.

LCM of 468,219 is 34164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4758,6108

GCF of Fractions 4758/468,6108/219 is 6/34164

2 4758, 6108
3 2379, 3054
793, 1018

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

Greatest Common Factor of 4758,6108 By Matching Biggest Common Factor Method

Greatest Common Factor of 4758,6108 By Matching Biggest Common Factor Method

Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Greatest Common Factor

We found the factors 4758,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 4758,6108 is 6.

Lets's calculate LCM of 468,219

3 468, 219
156, 73

∴ So the LCM of the given numbers is 3 x 156 x 73 = 34164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/34164

Therefore, the GCF of Fractions 4758/468,6108/219 is 6/34164

Least Common Multiple of 468,219 with GCF Formula

Least Common Multiple of 468,219 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 468,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,219) = 3

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

GCF(468,219) x common factors =3 x 1 = 3

LCM(468,219) = ( 468 × 219 ) / 3

LCM(468,219) = 102492 / 3

LCM(468,219) = 34164


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 4758/468, 6108/219

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 4758/468, 6108/219?

Answer: GCF of Numerators as per given numbers 4758/468, 6108/219 is

GCF of Numerators i.e. for 4758,6108 is 6

LCM of denominators i.e. for 468,219 is 34164.

Thus, GCF of Fractions is 6/34164.Finally, GCF of Fractions for 4758/468, 6108/219 is 6/34164.