Greatest Common Factor of 59/57, 27/608, 390/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/57, 27/608, 390/494

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 59/57,27/608,390/494

Given fractions are 59/57,27/608,390/494

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 59,27,390

Greatest Common Factor of Numerators i.e. GCF of 59,27,390 is 1 .

LCM of Denominators means LCM of 57,608,494 as per the given fractions.

LCM of 57,608,494 is 23712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,27,390

GCF of Fractions 59/57,27/608,390/494 is 1/23712

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

Greatest Common Factor of 59,27,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,27,390 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 27

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

1,3,9,27

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 59,27,390 . The biggest common factor number is the GCF number.
So the greatest common factor 59,27,390 is 1.

Lets's calculate LCM of 57,608,494

2 57, 608, 494
19 57, 304, 247
3, 16, 13

∴ So the LCM of the given numbers is 2 x 19 x 3 x 16 x 13 = 23712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23712

Therefore, the GCF of Fractions 59/57,27/608,390/494 is 1/23712

Least Common Multiple of 57,608,494 with GCF Formula

Least Common Multiple of 57,608,494 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 57,608,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,608,494) = 19

common factors(in case of two or more numbers have common factors) = 38

GCF(57,608,494) x common factors =19 x 38 = 722

LCM(57,608,494) = ( 57 × 608 × 494 ) / 722

LCM(57,608,494) = 17120064 / 722

LCM(57,608,494) = 23712


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 59/57, 27/608, 390/494

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 59/57, 27/608, 390/494?

Answer: GCF of Numerators as per given numbers 59/57, 27/608, 390/494 is

GCF of Numerators i.e. for 59,27,390 is 1

LCM of denominators i.e. for 57,608,494 is 23712.

Thus, GCF of Fractions is 1/23712.Finally, GCF of Fractions for 59/57, 27/608, 390/494 is 1/23712.