Greatest Common Factor of 9369/32, 2880/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9369/32, 2880/587

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 9369/32,2880/587

Given fractions are 9369/32,2880/587

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 9369,2880

Greatest Common Factor of Numerators i.e. GCF of 9369,2880 is 9 .

LCM of Denominators means LCM of 32,587 as per the given fractions.

LCM of 32,587 is 18784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9369,2880

GCF of Fractions 9369/32,2880/587 is 9/18784

3 9369, 2880
3 3123, 960
1041, 320

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9369,2880 By Matching Biggest Common Factor Method

Greatest Common Factor of 9369,2880 By Matching Biggest Common Factor Method

Factors of 9369

List of positive integer factors of 9369 that divides 9369 without a remainder.

1,3,9,27,347,1041,3123,9369

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880

Greatest Common Factor

We found the factors 9369,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 9369,2880 is 9.

Lets's calculate LCM of 32,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 18784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/18784

Therefore, the GCF of Fractions 9369/32,2880/587 is 9/18784

Least Common Multiple of 32,587 with GCF Formula

Least Common Multiple of 32,587 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 32,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,587) = 1

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

GCF(32,587) x common factors =1 x 1 = 1

LCM(32,587) = ( 32 × 587 ) / 1

LCM(32,587) = 18784 / 1

LCM(32,587) = 18784


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 9369/32, 2880/587

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 9369/32, 2880/587?

Answer: GCF of Numerators as per given numbers 9369/32, 2880/587 is

GCF of Numerators i.e. for 9369,2880 is 9

LCM of denominators i.e. for 32,587 is 18784.

Thus, GCF of Fractions is 9/18784.Finally, GCF of Fractions for 9369/32, 2880/587 is 9/18784.