Greatest Common Factor of 27/22, 78/41, 831/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/22, 78/41, 831/576

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 27/22,78/41,831/576

Given fractions are 27/22,78/41,831/576

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 27,78,831

Greatest Common Factor of Numerators i.e. GCF of 27,78,831 is 3 .

LCM of Denominators means LCM of 22,41,576 as per the given fractions.

LCM of 22,41,576 is 259776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,78,831

GCF of Fractions 27/22,78/41,831/576 is 3/259776

3 27, 78, 831
9, 26, 277

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,78,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,78,831 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 27,78,831 . The biggest common factor number is the GCF number.
So the greatest common factor 27,78,831 is 3.

Lets's calculate LCM of 22,41,576

2 22, 41, 576
11, 41, 288

∴ So the LCM of the given numbers is 2 x 11 x 41 x 288 = 259776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/259776

Therefore, the GCF of Fractions 27/22,78/41,831/576 is 3/259776

Least Common Multiple of 22,41,576 with GCF Formula

Least Common Multiple of 22,41,576 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 22,41,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,41,576) = 1

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

GCF(22,41,576) x common factors =1 x 2 = 2

LCM(22,41,576) = ( 22 × 41 × 576 ) / 2

LCM(22,41,576) = 519552 / 2

LCM(22,41,576) = 259776


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 27/22, 78/41, 831/576

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 27/22, 78/41, 831/576?

Answer: GCF of Numerators as per given numbers 27/22, 78/41, 831/576 is

GCF of Numerators i.e. for 27,78,831 is 3

LCM of denominators i.e. for 22,41,576 is 259776.

Thus, GCF of Fractions is 3/259776.Finally, GCF of Fractions for 27/22, 78/41, 831/576 is 3/259776.