Greatest Common Factor of 47/263, 37/760, 673/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/263, 37/760, 673/594

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 47/263,37/760,673/594

Given fractions are 47/263,37/760,673/594

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 47,37,673

Greatest Common Factor of Numerators i.e. GCF of 47,37,673 is 1 .

LCM of Denominators means LCM of 263,760,594 as per the given fractions.

LCM of 263,760,594 is 59364360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,37,673

GCF of Fractions 47/263,37/760,673/594 is 1/59364360

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

Greatest Common Factor of 47,37,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,37,673 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 47,37,673 . The biggest common factor number is the GCF number.
So the greatest common factor 47,37,673 is 1.

Lets's calculate LCM of 263,760,594

2 263, 760, 594
263, 380, 297

∴ So the LCM of the given numbers is 2 x 263 x 380 x 297 = 59364360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59364360

Therefore, the GCF of Fractions 47/263,37/760,673/594 is 1/59364360

Least Common Multiple of 263,760,594 with GCF Formula

Least Common Multiple of 263,760,594 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 263,760,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,760,594) = 1

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

GCF(263,760,594) x common factors =1 x 2 = 2

LCM(263,760,594) = ( 263 × 760 × 594 ) / 2

LCM(263,760,594) = 118728720 / 2

LCM(263,760,594) = 59364360


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 47/263, 37/760, 673/594

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 47/263, 37/760, 673/594?

Answer: GCF of Numerators as per given numbers 47/263, 37/760, 673/594 is

GCF of Numerators i.e. for 47,37,673 is 1

LCM of denominators i.e. for 263,760,594 is 59364360.

Thus, GCF of Fractions is 1/59364360.Finally, GCF of Fractions for 47/263, 37/760, 673/594 is 1/59364360.