Greatest Common Factor of 27/263, 37/489, 460/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/263, 37/489, 460/804

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 27/263,37/489,460/804

Given fractions are 27/263,37/489,460/804

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 27,37,460

Greatest Common Factor of Numerators i.e. GCF of 27,37,460 is 1 .

LCM of Denominators means LCM of 263,489,804 as per the given fractions.

LCM of 263,489,804 is 34466676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,37,460

GCF of Fractions 27/263,37/489,460/804 is 1/34466676

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

Greatest Common Factor of 27,37,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,37,460 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 37

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

1,37

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 27,37,460 . The biggest common factor number is the GCF number.
So the greatest common factor 27,37,460 is 1.

Lets's calculate LCM of 263,489,804

3 263, 489, 804
263, 163, 268

∴ So the LCM of the given numbers is 3 x 263 x 163 x 268 = 34466676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34466676

Therefore, the GCF of Fractions 27/263,37/489,460/804 is 1/34466676

Least Common Multiple of 263,489,804 with GCF Formula

Least Common Multiple of 263,489,804 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 263,489,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,489,804) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(263,489,804) x common factors =1 x 3 = 3

LCM(263,489,804) = ( 263 × 489 × 804 ) / 3

LCM(263,489,804) = 103400028 / 3

LCM(263,489,804) = 34466676


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 27/263, 37/489, 460/804

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 27/263, 37/489, 460/804?

Answer: GCF of Numerators as per given numbers 27/263, 37/489, 460/804 is

GCF of Numerators i.e. for 27,37,460 is 1

LCM of denominators i.e. for 263,489,804 is 34466676.

Thus, GCF of Fractions is 1/34466676.Finally, GCF of Fractions for 27/263, 37/489, 460/804 is 1/34466676.