Greatest Common Factor of 27/14, 46/522, 193/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/14, 46/522, 193/878

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 27/14,46/522,193/878

Given fractions are 27/14,46/522,193/878

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 27,46,193

Greatest Common Factor of Numerators i.e. GCF of 27,46,193 is 1 .

LCM of Denominators means LCM of 14,522,878 as per the given fractions.

LCM of 14,522,878 is 1604106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,46,193

GCF of Fractions 27/14,46/522,193/878 is 1/1604106

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

Greatest Common Factor of 27,46,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,46,193 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 46

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

1,2,23,46

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 27,46,193 . The biggest common factor number is the GCF number.
So the greatest common factor 27,46,193 is 1.

Lets's calculate LCM of 14,522,878

2 14, 522, 878
7, 261, 439

∴ So the LCM of the given numbers is 2 x 7 x 261 x 439 = 1604106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604106

Therefore, the GCF of Fractions 27/14,46/522,193/878 is 1/1604106

Least Common Multiple of 14,522,878 with GCF Formula

Least Common Multiple of 14,522,878 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 14,522,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,522,878) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,522,878) x common factors =2 x 2 = 4

LCM(14,522,878) = ( 14 × 522 × 878 ) / 4

LCM(14,522,878) = 6416424 / 4

LCM(14,522,878) = 1604106


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 27/14, 46/522, 193/878

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 27/14, 46/522, 193/878?

Answer: GCF of Numerators as per given numbers 27/14, 46/522, 193/878 is

GCF of Numerators i.e. for 27,46,193 is 1

LCM of denominators i.e. for 14,522,878 is 1604106.

Thus, GCF of Fractions is 1/1604106.Finally, GCF of Fractions for 27/14, 46/522, 193/878 is 1/1604106.