Greatest Common Factor of 9600/260, 1329/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9600/260, 1329/375

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 9600/260,1329/375

Given fractions are 9600/260,1329/375

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 9600,1329

Greatest Common Factor of Numerators i.e. GCF of 9600,1329 is 3 .

LCM of Denominators means LCM of 260,375 as per the given fractions.

LCM of 260,375 is 19500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9600,1329

GCF of Fractions 9600/260,1329/375 is 3/19500

3 9600, 1329
3200, 443

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

Greatest Common Factor of 9600,1329 By Matching Biggest Common Factor Method

Greatest Common Factor of 9600,1329 By Matching Biggest Common Factor Method

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Factors of 1329

List of positive integer factors of 1329 that divides 1329 without a remainder.

1,3,443,1329

Greatest Common Factor

We found the factors 9600,1329 . The biggest common factor number is the GCF number.
So the greatest common factor 9600,1329 is 3.

Lets's calculate LCM of 260,375

5 260, 375
52, 75

∴ So the LCM of the given numbers is 5 x 52 x 75 = 19500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19500

Therefore, the GCF of Fractions 9600/260,1329/375 is 3/19500

Least Common Multiple of 260,375 with GCF Formula

Least Common Multiple of 260,375 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 260,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,375) = 5

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

GCF(260,375) x common factors =5 x 1 = 5

LCM(260,375) = ( 260 × 375 ) / 5

LCM(260,375) = 97500 / 5

LCM(260,375) = 19500


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 9600/260, 1329/375

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 9600/260, 1329/375?

Answer: GCF of Numerators as per given numbers 9600/260, 1329/375 is

GCF of Numerators i.e. for 9600,1329 is 3

LCM of denominators i.e. for 260,375 is 19500.

Thus, GCF of Fractions is 3/19500.Finally, GCF of Fractions for 9600/260, 1329/375 is 3/19500.