Greatest Common Factor of 299/81, 368/8877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/81, 368/8877

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 299/81,368/8877

Given fractions are 299/81,368/8877

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 299,368

Greatest Common Factor of Numerators i.e. GCF of 299,368 is 23 .

LCM of Denominators means LCM of 81,8877 as per the given fractions.

LCM of 81,8877 is 239679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,368

GCF of Fractions 299/81,368/8877 is 23/239679

23 299, 368
13, 16

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 299,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,368 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 299,368 . The biggest common factor number is the GCF number.
So the greatest common factor 299,368 is 23.

Lets's calculate LCM of 81,8877

3 81, 8877
27, 2959

∴ So the LCM of the given numbers is 3 x 27 x 2959 = 239679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/239679

Therefore, the GCF of Fractions 299/81,368/8877 is 23/239679

Least Common Multiple of 81,8877 with GCF Formula

Least Common Multiple of 81,8877 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 81,8877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8877) = 3

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

GCF(81,8877) x common factors =3 x 1 = 3

LCM(81,8877) = ( 81 × 8877 ) / 3

LCM(81,8877) = 719037 / 3

LCM(81,8877) = 239679


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 299/81, 368/8877

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 299/81, 368/8877?

Answer: GCF of Numerators as per given numbers 299/81, 368/8877 is

GCF of Numerators i.e. for 299,368 is 23

LCM of denominators i.e. for 81,8877 is 239679.

Thus, GCF of Fractions is 23/239679.Finally, GCF of Fractions for 299/81, 368/8877 is 23/239679.