Greatest Common Factor of 54/50, 393/13, 855/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/50, 393/13, 855/241

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 54/50,393/13,855/241

Given fractions are 54/50,393/13,855/241

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 54,393,855

Greatest Common Factor of Numerators i.e. GCF of 54,393,855 is 3 .

LCM of Denominators means LCM of 50,13,241 as per the given fractions.

LCM of 50,13,241 is 156650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,393,855

GCF of Fractions 54/50,393/13,855/241 is 3/156650

3 54, 393, 855
18, 131, 285

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

Greatest Common Factor of 54,393,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,393,855 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 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 54,393,855 . The biggest common factor number is the GCF number.
So the greatest common factor 54,393,855 is 3.

Lets's calculate LCM of 50,13,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 156650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156650

Therefore, the GCF of Fractions 54/50,393/13,855/241 is 3/156650

Least Common Multiple of 50,13,241 with GCF Formula

Least Common Multiple of 50,13,241 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 50,13,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,13,241) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(50,13,241) x common factors =1 x 1 = 1

LCM(50,13,241) = ( 50 × 13 × 241 ) / 1

LCM(50,13,241) = 156650 / 1

LCM(50,13,241) = 156650


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 54/50, 393/13, 855/241

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 54/50, 393/13, 855/241?

Answer: GCF of Numerators as per given numbers 54/50, 393/13, 855/241 is

GCF of Numerators i.e. for 54,393,855 is 3

LCM of denominators i.e. for 50,13,241 is 156650.

Thus, GCF of Fractions is 3/156650.Finally, GCF of Fractions for 54/50, 393/13, 855/241 is 3/156650.