Greatest Common Factor of 309/192, 8967/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/192, 8967/343

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 309/192,8967/343

Given fractions are 309/192,8967/343

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 309,8967

Greatest Common Factor of Numerators i.e. GCF of 309,8967 is 3 .

LCM of Denominators means LCM of 192,343 as per the given fractions.

LCM of 192,343 is 65856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,8967

GCF of Fractions 309/192,8967/343 is 3/65856

3 309, 8967
103, 2989

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 309,8967 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,8967 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1,3,7,21,49,61,147,183,427,1281,2989,8967

Greatest Common Factor

We found the factors 309,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 309,8967 is 3.

Lets's calculate LCM of 192,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 65856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65856

Therefore, the GCF of Fractions 309/192,8967/343 is 3/65856

Least Common Multiple of 192,343 with GCF Formula

Least Common Multiple of 192,343 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 192,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,343) = 1

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

GCF(192,343) x common factors =1 x 1 = 1

LCM(192,343) = ( 192 × 343 ) / 1

LCM(192,343) = 65856 / 1

LCM(192,343) = 65856


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 309/192, 8967/343

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 309/192, 8967/343?

Answer: GCF of Numerators as per given numbers 309/192, 8967/343 is

GCF of Numerators i.e. for 309,8967 is 3

LCM of denominators i.e. for 192,343 is 65856.

Thus, GCF of Fractions is 3/65856.Finally, GCF of Fractions for 309/192, 8967/343 is 3/65856.