Greatest Common Factor of 241/258, 5543/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/258, 5543/163

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 241/258,5543/163

Given fractions are 241/258,5543/163

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 241,5543

Greatest Common Factor of Numerators i.e. GCF of 241,5543 is 241 .

LCM of Denominators means LCM of 258,163 as per the given fractions.

LCM of 258,163 is 42054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,5543

GCF of Fractions 241/258,5543/163 is 241/42054

241 241, 5543
1, 23

∴ So the GCF of the given numbers is 241 = 241

Greatest Common Factor of 241,5543 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,5543 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 5543

List of positive integer factors of 5543 that divides 5543 without a remainder.

1,23,241,5543

Greatest Common Factor

We found the factors 241,5543 . The biggest common factor number is the GCF number.
So the greatest common factor 241,5543 is 241.

Lets's calculate LCM of 258,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 42054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 241/42054

Therefore, the GCF of Fractions 241/258,5543/163 is 241/42054

Least Common Multiple of 258,163 with GCF Formula

Least Common Multiple of 258,163 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 258,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,163) = 1

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

GCF(258,163) x common factors =1 x 1 = 1

LCM(258,163) = ( 258 × 163 ) / 1

LCM(258,163) = 42054 / 1

LCM(258,163) = 42054


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 241/258, 5543/163

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 241/258, 5543/163?

Answer: GCF of Numerators as per given numbers 241/258, 5543/163 is

GCF of Numerators i.e. for 241,5543 is 241

LCM of denominators i.e. for 258,163 is 42054.

Thus, GCF of Fractions is 241/42054.Finally, GCF of Fractions for 241/258, 5543/163 is 241/42054.