Greatest Common Factor of 3344/879, 2365/7409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3344/879, 2365/7409

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 3344/879,2365/7409

Given fractions are 3344/879,2365/7409

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 3344,2365

Greatest Common Factor of Numerators i.e. GCF of 3344,2365 is 11 .

LCM of Denominators means LCM of 879,7409 as per the given fractions.

LCM of 879,7409 is 6512511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3344,2365

GCF of Fractions 3344/879,2365/7409 is 11/6512511

11 3344, 2365
304, 215

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3344,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 3344,2365 By Matching Biggest Common Factor Method

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 3344,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 3344,2365 is 11.

Lets's calculate LCM of 879,7409

Given numbers has no common factors except 1. So, there LCM is their product i.e 6512511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6512511

Therefore, the GCF of Fractions 3344/879,2365/7409 is 11/6512511

Least Common Multiple of 879,7409 with GCF Formula

Least Common Multiple of 879,7409 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 879,7409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,7409) = 1

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

GCF(879,7409) x common factors =1 x 1 = 1

LCM(879,7409) = ( 879 × 7409 ) / 1

LCM(879,7409) = 6512511 / 1

LCM(879,7409) = 6512511


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 3344/879, 2365/7409

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 3344/879, 2365/7409?

Answer: GCF of Numerators as per given numbers 3344/879, 2365/7409 is

GCF of Numerators i.e. for 3344,2365 is 11

LCM of denominators i.e. for 879,7409 is 6512511.

Thus, GCF of Fractions is 11/6512511.Finally, GCF of Fractions for 3344/879, 2365/7409 is 11/6512511.