Greatest Common Factor of 3310/279, 7671/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3310/279, 7671/241

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 3310/279,7671/241

Given fractions are 3310/279,7671/241

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 3310,7671

Greatest Common Factor of Numerators i.e. GCF of 3310,7671 is 1 .

LCM of Denominators means LCM of 279,241 as per the given fractions.

LCM of 279,241 is 67239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3310,7671

GCF of Fractions 3310/279,7671/241 is 1/67239

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

Greatest Common Factor of 3310,7671 By Matching Biggest Common Factor Method

Greatest Common Factor of 3310,7671 By Matching Biggest Common Factor Method

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1,3,2557,7671

Greatest Common Factor

We found the factors 3310,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,7671 is 1.

Lets's calculate LCM of 279,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 67239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67239

Therefore, the GCF of Fractions 3310/279,7671/241 is 1/67239

Least Common Multiple of 279,241 with GCF Formula

Least Common Multiple of 279,241 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 279,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,241) = 1

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

GCF(279,241) x common factors =1 x 1 = 1

LCM(279,241) = ( 279 × 241 ) / 1

LCM(279,241) = 67239 / 1

LCM(279,241) = 67239


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 3310/279, 7671/241

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 3310/279, 7671/241?

Answer: GCF of Numerators as per given numbers 3310/279, 7671/241 is

GCF of Numerators i.e. for 3310,7671 is 1

LCM of denominators i.e. for 279,241 is 67239.

Thus, GCF of Fractions is 1/67239.Finally, GCF of Fractions for 3310/279, 7671/241 is 1/67239.