Greatest Common Factor of 241/73, 3431/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/73, 3431/313

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 241/73,3431/313

Given fractions are 241/73,3431/313

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 241,3431

Greatest Common Factor of Numerators i.e. GCF of 241,3431 is 1 .

LCM of Denominators means LCM of 73,313 as per the given fractions.

LCM of 73,313 is 22849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,3431

GCF of Fractions 241/73,3431/313 is 1/22849

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

Greatest Common Factor of 241,3431 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,3431 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 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Greatest Common Factor

We found the factors 241,3431 . The biggest common factor number is the GCF number.
So the greatest common factor 241,3431 is 1.

Lets's calculate LCM of 73,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 22849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22849

Therefore, the GCF of Fractions 241/73,3431/313 is 1/22849

Least Common Multiple of 73,313 with GCF Formula

Least Common Multiple of 73,313 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 73,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,313) = 1

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

GCF(73,313) x common factors =1 x 1 = 1

LCM(73,313) = ( 73 × 313 ) / 1

LCM(73,313) = 22849 / 1

LCM(73,313) = 22849


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 241/73, 3431/313

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 241/73, 3431/313?

Answer: GCF of Numerators as per given numbers 241/73, 3431/313 is

GCF of Numerators i.e. for 241,3431 is 1

LCM of denominators i.e. for 73,313 is 22849.

Thus, GCF of Fractions is 1/22849.Finally, GCF of Fractions for 241/73, 3431/313 is 1/22849.