Greatest Common Factor of 9508/327, 1683/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9508/327, 1683/324

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 9508/327,1683/324

Given fractions are 9508/327,1683/324

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 9508,1683

Greatest Common Factor of Numerators i.e. GCF of 9508,1683 is 1 .

LCM of Denominators means LCM of 327,324 as per the given fractions.

LCM of 327,324 is 35316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9508,1683

GCF of Fractions 9508/327,1683/324 is 1/35316

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9508,1683 By Matching Biggest Common Factor Method

Greatest Common Factor of 9508,1683 By Matching Biggest Common Factor Method

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 9508,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 9508,1683 is 1.

Lets's calculate LCM of 327,324

3 327, 324
109, 108

∴ So the LCM of the given numbers is 3 x 109 x 108 = 35316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35316

Therefore, the GCF of Fractions 9508/327,1683/324 is 1/35316

Least Common Multiple of 327,324 with GCF Formula

Least Common Multiple of 327,324 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 327,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,324) = 3

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

GCF(327,324) x common factors =3 x 1 = 3

LCM(327,324) = ( 327 × 324 ) / 3

LCM(327,324) = 105948 / 3

LCM(327,324) = 35316


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 9508/327, 1683/324

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 9508/327, 1683/324?

Answer: GCF of Numerators as per given numbers 9508/327, 1683/324 is

GCF of Numerators i.e. for 9508,1683 is 1

LCM of denominators i.e. for 327,324 is 35316.

Thus, GCF of Fractions is 1/35316.Finally, GCF of Fractions for 9508/327, 1683/324 is 1/35316.