Greatest Common Factor of 54/182, 131/828, 234/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/182, 131/828, 234/943

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 54/182,131/828,234/943

Given fractions are 54/182,131/828,234/943

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 54,131,234

Greatest Common Factor of Numerators i.e. GCF of 54,131,234 is 1 .

LCM of Denominators means LCM of 182,828,943 as per the given fractions.

LCM of 182,828,943 is 3089268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,131,234

GCF of Fractions 54/182,131/828,234/943 is 1/3089268

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

Greatest Common Factor of 54,131,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,131,234 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 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 54,131,234 . The biggest common factor number is the GCF number.
So the greatest common factor 54,131,234 is 1.

Lets's calculate LCM of 182,828,943

2 182, 828, 943
23 91, 414, 943
91, 18, 41

∴ So the LCM of the given numbers is 2 x 23 x 91 x 18 x 41 = 3089268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3089268

Therefore, the GCF of Fractions 54/182,131/828,234/943 is 1/3089268

Least Common Multiple of 182,828,943 with GCF Formula

Least Common Multiple of 182,828,943 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 182,828,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,828,943) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(182,828,943) x common factors =1 x 46 = 46

LCM(182,828,943) = ( 182 × 828 × 943 ) / 46

LCM(182,828,943) = 142106328 / 46

LCM(182,828,943) = 3089268


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 54/182, 131/828, 234/943

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 54/182, 131/828, 234/943?

Answer: GCF of Numerators as per given numbers 54/182, 131/828, 234/943 is

GCF of Numerators i.e. for 54,131,234 is 1

LCM of denominators i.e. for 182,828,943 is 3089268.

Thus, GCF of Fractions is 1/3089268.Finally, GCF of Fractions for 54/182, 131/828, 234/943 is 1/3089268.