Greatest Common Factor of 104/41, 261/4327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 104/41, 261/4327

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 104/41,261/4327

Given fractions are 104/41,261/4327

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 104,261

Greatest Common Factor of Numerators i.e. GCF of 104,261 is 1 .

LCM of Denominators means LCM of 41,4327 as per the given fractions.

LCM of 41,4327 is 177407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,261

GCF of Fractions 104/41,261/4327 is 1/177407

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

Greatest Common Factor of 104,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,261 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 104,261 . The biggest common factor number is the GCF number.
So the greatest common factor 104,261 is 1.


Lets's calculate LCM of 41,4327

Given numbers has no common factors except 1. So, there LCM is their product i.e 177407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177407

Therefore, the GCF of Fractions 104/41,261/4327 is 1/177407

Least Common Multiple of 41,4327 with GCF Formula

Least Common Multiple of 41,4327 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 41,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,4327) = 1

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

GCF(41,4327) x common factors =1 x 1 = 1

LCM(41,4327) = ( 41 × 4327 ) / 1

LCM(41,4327) = 177407 / 1

LCM(41,4327) = 177407


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 104/41, 261/4327

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 104/41, 261/4327?

Answer: GCF of Numerators as per given numbers 104/41, 261/4327 is

GCF of Numerators i.e. for 104,261 is 1

LCM of denominators i.e. for 41,4327 is 177407.

Thus, GCF of Fractions is 1/177407.Finally, GCF of Fractions for 104/41, 261/4327 is 1/177407.