Greatest Common Factor of 9909/963, 2560/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9909/963, 2560/301

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 9909/963,2560/301

Given fractions are 9909/963,2560/301

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 9909,2560

Greatest Common Factor of Numerators i.e. GCF of 9909,2560 is 1 .

LCM of Denominators means LCM of 963,301 as per the given fractions.

LCM of 963,301 is 289863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9909,2560

GCF of Fractions 9909/963,2560/301 is 1/289863

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

Greatest Common Factor of 9909,2560 By Matching Biggest Common Factor Method

Greatest Common Factor of 9909,2560 By Matching Biggest Common Factor Method

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Factors of 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560

Greatest Common Factor

We found the factors 9909,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 9909,2560 is 1.

Lets's calculate LCM of 963,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 289863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289863

Therefore, the GCF of Fractions 9909/963,2560/301 is 1/289863

Least Common Multiple of 963,301 with GCF Formula

Least Common Multiple of 963,301 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 963,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,301) = 1

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

GCF(963,301) x common factors =1 x 1 = 1

LCM(963,301) = ( 963 × 301 ) / 1

LCM(963,301) = 289863 / 1

LCM(963,301) = 289863


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 9909/963, 2560/301

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 9909/963, 2560/301?

Answer: GCF of Numerators as per given numbers 9909/963, 2560/301 is

GCF of Numerators i.e. for 9909,2560 is 1

LCM of denominators i.e. for 963,301 is 289863.

Thus, GCF of Fractions is 1/289863.Finally, GCF of Fractions for 9909/963, 2560/301 is 1/289863.