Greatest Common Factor of 54/872, 80/524, 368/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/872, 80/524, 368/241

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 54/872,80/524,368/241

Given fractions are 54/872,80/524,368/241

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 54,80,368

Greatest Common Factor of Numerators i.e. GCF of 54,80,368 is 2 .

LCM of Denominators means LCM of 872,524,241 as per the given fractions.

LCM of 872,524,241 is 27529912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,80,368

GCF of Fractions 54/872,80/524,368/241 is 2/27529912

2 54, 80, 368
27, 40, 184

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 54,80,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,80,368 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 54,80,368 . The biggest common factor number is the GCF number.
So the greatest common factor 54,80,368 is 2.

Lets's calculate LCM of 872,524,241

2 872, 524, 241
2 436, 262, 241
218, 131, 241

∴ So the LCM of the given numbers is 2 x 2 x 218 x 131 x 241 = 27529912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27529912

Therefore, the GCF of Fractions 54/872,80/524,368/241 is 2/27529912

Least Common Multiple of 872,524,241 with GCF Formula

Least Common Multiple of 872,524,241 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 872,524,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,524,241) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(872,524,241) x common factors =1 x 4 = 4

LCM(872,524,241) = ( 872 × 524 × 241 ) / 4

LCM(872,524,241) = 110119648 / 4

LCM(872,524,241) = 27529912


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 54/872, 80/524, 368/241

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 54/872, 80/524, 368/241?

Answer: GCF of Numerators as per given numbers 54/872, 80/524, 368/241 is

GCF of Numerators i.e. for 54,80,368 is 2

LCM of denominators i.e. for 872,524,241 is 27529912.

Thus, GCF of Fractions is 2/27529912.Finally, GCF of Fractions for 54/872, 80/524, 368/241 is 2/27529912.