Greatest Common Factor of 299/438, 4692/8191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/438, 4692/8191

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 299/438,4692/8191

Given fractions are 299/438,4692/8191

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 299,4692

Greatest Common Factor of Numerators i.e. GCF of 299,4692 is 23 .

LCM of Denominators means LCM of 438,8191 as per the given fractions.

LCM of 438,8191 is 3587658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,4692

GCF of Fractions 299/438,4692/8191 is 23/3587658

23 299, 4692
13, 204

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

Greatest Common Factor of 299,4692 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,4692 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 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Greatest Common Factor

We found the factors 299,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 299,4692 is 23.

Lets's calculate LCM of 438,8191

Given numbers has no common factors except 1. So, there LCM is their product i.e 3587658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3587658

Therefore, the GCF of Fractions 299/438,4692/8191 is 23/3587658

Least Common Multiple of 438,8191 with GCF Formula

Least Common Multiple of 438,8191 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 438,8191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,8191) = 1

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

GCF(438,8191) x common factors =1 x 1 = 1

LCM(438,8191) = ( 438 × 8191 ) / 1

LCM(438,8191) = 3587658 / 1

LCM(438,8191) = 3587658


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 299/438, 4692/8191

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 299/438, 4692/8191?

Answer: GCF of Numerators as per given numbers 299/438, 4692/8191 is

GCF of Numerators i.e. for 299,4692 is 23

LCM of denominators i.e. for 438,8191 is 3587658.

Thus, GCF of Fractions is 23/3587658.Finally, GCF of Fractions for 299/438, 4692/8191 is 23/3587658.