Greatest Common Factor of 484/5945, 342/3241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/5945, 342/3241

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 484/5945,342/3241

Given fractions are 484/5945,342/3241

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 484,342

Greatest Common Factor of Numerators i.e. GCF of 484,342 is 2 .

LCM of Denominators means LCM of 5945,3241 as per the given fractions.

LCM of 5945,3241 is 19267745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,342

GCF of Fractions 484/5945,342/3241 is 2/19267745

2 484, 342
242, 171

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

Greatest Common Factor of 484,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,342 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 484,342 . The biggest common factor number is the GCF number.
So the greatest common factor 484,342 is 2.

Lets's calculate LCM of 5945,3241

Given numbers has no common factors except 1. So, there LCM is their product i.e 19267745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19267745

Therefore, the GCF of Fractions 484/5945,342/3241 is 2/19267745

Least Common Multiple of 5945,3241 with GCF Formula

Least Common Multiple of 5945,3241 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 5945,3241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5945,3241) = 1

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

GCF(5945,3241) x common factors =1 x 1 = 1

LCM(5945,3241) = ( 5945 × 3241 ) / 1

LCM(5945,3241) = 19267745 / 1

LCM(5945,3241) = 19267745


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 484/5945, 342/3241

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 484/5945, 342/3241?

Answer: GCF of Numerators as per given numbers 484/5945, 342/3241 is

GCF of Numerators i.e. for 484,342 is 2

LCM of denominators i.e. for 5945,3241 is 19267745.

Thus, GCF of Fractions is 2/19267745.Finally, GCF of Fractions for 484/5945, 342/3241 is 2/19267745.