Greatest Common Factor of 327/2884, 960/6649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/2884, 960/6649

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 327/2884,960/6649

Given fractions are 327/2884,960/6649

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 327,960

Greatest Common Factor of Numerators i.e. GCF of 327,960 is 3 .

LCM of Denominators means LCM of 2884,6649 as per the given fractions.

LCM of 2884,6649 is 19175716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,960

GCF of Fractions 327/2884,960/6649 is 3/19175716

3 327, 960
109, 320

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

Greatest Common Factor of 327,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,960 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 327,960 . The biggest common factor number is the GCF number.
So the greatest common factor 327,960 is 3.

Lets's calculate LCM of 2884,6649

Given numbers has no common factors except 1. So, there LCM is their product i.e 19175716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19175716

Therefore, the GCF of Fractions 327/2884,960/6649 is 3/19175716

Least Common Multiple of 2884,6649 with GCF Formula

Least Common Multiple of 2884,6649 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 2884,6649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2884,6649) = 1

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

GCF(2884,6649) x common factors =1 x 1 = 1

LCM(2884,6649) = ( 2884 × 6649 ) / 1

LCM(2884,6649) = 19175716 / 1

LCM(2884,6649) = 19175716


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 327/2884, 960/6649

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 327/2884, 960/6649?

Answer: GCF of Numerators as per given numbers 327/2884, 960/6649 is

GCF of Numerators i.e. for 327,960 is 3

LCM of denominators i.e. for 2884,6649 is 19175716.

Thus, GCF of Fractions is 3/19175716.Finally, GCF of Fractions for 327/2884, 960/6649 is 3/19175716.