Greatest Common Factor of 46/204, 8395/6168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/204, 8395/6168

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 46/204,8395/6168

Given fractions are 46/204,8395/6168

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 46,8395

Greatest Common Factor of Numerators i.e. GCF of 46,8395 is 23 .

LCM of Denominators means LCM of 204,6168 as per the given fractions.

LCM of 204,6168 is 104856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,8395

GCF of Fractions 46/204,8395/6168 is 23/104856

23 46, 8395
2, 365

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 46,8395 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,8395 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1,5,23,73,115,365,1679,8395

Greatest Common Factor

We found the factors 46,8395 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8395 is 23.

Lets's calculate LCM of 204,6168

2 204, 6168
2 102, 3084
3 51, 1542
17, 514

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 514 = 104856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/104856

Therefore, the GCF of Fractions 46/204,8395/6168 is 23/104856

Least Common Multiple of 204,6168 with GCF Formula

Least Common Multiple of 204,6168 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 204,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,6168) = 12

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

GCF(204,6168) x common factors =12 x 1 = 12

LCM(204,6168) = ( 204 × 6168 ) / 12

LCM(204,6168) = 1258272 / 12

LCM(204,6168) = 104856


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 46/204, 8395/6168

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 46/204, 8395/6168?

Answer: GCF of Numerators as per given numbers 46/204, 8395/6168 is

GCF of Numerators i.e. for 46,8395 is 23

LCM of denominators i.e. for 204,6168 is 104856.

Thus, GCF of Fractions is 23/104856.Finally, GCF of Fractions for 46/204, 8395/6168 is 23/104856.