Greatest Common Factor of 54/235, 28/918, 858/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/235, 28/918, 858/423

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 54/235,28/918,858/423

Given fractions are 54/235,28/918,858/423

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 54,28,858

Greatest Common Factor of Numerators i.e. GCF of 54,28,858 is 2 .

LCM of Denominators means LCM of 235,918,423 as per the given fractions.

LCM of 235,918,423 is 215730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,28,858

GCF of Fractions 54/235,28/918,858/423 is 2/215730

2 54, 28, 858
27, 14, 429

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

Greatest Common Factor of 54,28,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,28,858 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 54,28,858 . The biggest common factor number is the GCF number.
So the greatest common factor 54,28,858 is 2.

Lets's calculate LCM of 235,918,423

3 235, 918, 423
3 235, 306, 141
47 235, 102, 47
5, 102, 1

∴ So the LCM of the given numbers is 3 x 3 x 47 x 5 x 102 x 1 = 215730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/215730

Therefore, the GCF of Fractions 54/235,28/918,858/423 is 2/215730

Least Common Multiple of 235,918,423 with GCF Formula

Least Common Multiple of 235,918,423 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 235,918,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,918,423) = 1

common factors(in case of two or more numbers have common factors) = 423

GCF(235,918,423) x common factors =1 x 423 = 423

LCM(235,918,423) = ( 235 × 918 × 423 ) / 423

LCM(235,918,423) = 91253790 / 423

LCM(235,918,423) = 215730


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 54/235, 28/918, 858/423

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 54/235, 28/918, 858/423?

Answer: GCF of Numerators as per given numbers 54/235, 28/918, 858/423 is

GCF of Numerators i.e. for 54,28,858 is 2

LCM of denominators i.e. for 235,918,423 is 215730.

Thus, GCF of Fractions is 2/215730.Finally, GCF of Fractions for 54/235, 28/918, 858/423 is 2/215730.