Greatest Common Factor of 9994/327, 8576/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9994/327, 8576/973

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 9994/327,8576/973

Given fractions are 9994/327,8576/973

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 9994,8576

Greatest Common Factor of Numerators i.e. GCF of 9994,8576 is 2 .

LCM of Denominators means LCM of 327,973 as per the given fractions.

LCM of 327,973 is 318171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9994,8576

GCF of Fractions 9994/327,8576/973 is 2/318171

2 9994, 8576
4997, 4288

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9994,8576 By Matching Biggest Common Factor Method

Greatest Common Factor of 9994,8576 By Matching Biggest Common Factor Method

Factors of 9994

List of positive integer factors of 9994 that divides 9994 without a remainder.

1,2,19,38,263,526,4997,9994

Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576

Greatest Common Factor

We found the factors 9994,8576 . The biggest common factor number is the GCF number.
So the greatest common factor 9994,8576 is 2.

Lets's calculate LCM of 327,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 318171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318171

Therefore, the GCF of Fractions 9994/327,8576/973 is 2/318171

Least Common Multiple of 327,973 with GCF Formula

Least Common Multiple of 327,973 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 327,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,973) = 1

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

GCF(327,973) x common factors =1 x 1 = 1

LCM(327,973) = ( 327 × 973 ) / 1

LCM(327,973) = 318171 / 1

LCM(327,973) = 318171


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 9994/327, 8576/973

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 9994/327, 8576/973?

Answer: GCF of Numerators as per given numbers 9994/327, 8576/973 is

GCF of Numerators i.e. for 9994,8576 is 2

LCM of denominators i.e. for 327,973 is 318171.

Thus, GCF of Fractions is 2/318171.Finally, GCF of Fractions for 9994/327, 8576/973 is 2/318171.