Greatest Common Factor of 640/299, 9082/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/299, 9082/759

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 640/299,9082/759

Given fractions are 640/299,9082/759

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 640,9082

Greatest Common Factor of Numerators i.e. GCF of 640,9082 is 2 .

LCM of Denominators means LCM of 299,759 as per the given fractions.

LCM of 299,759 is 9867 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,9082

GCF of Fractions 640/299,9082/759 is 2/9867

2 640, 9082
320, 4541

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 640,9082 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,9082 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

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

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1,2,19,38,239,478,4541,9082

Greatest Common Factor

We found the factors 640,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 640,9082 is 2.

Lets's calculate LCM of 299,759

23 299, 759
13, 33

∴ So the LCM of the given numbers is 23 x 13 x 33 = 9867

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9867

Therefore, the GCF of Fractions 640/299,9082/759 is 2/9867

Least Common Multiple of 299,759 with GCF Formula

Least Common Multiple of 299,759 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 299,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,759) = 23

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

GCF(299,759) x common factors =23 x 1 = 23

LCM(299,759) = ( 299 × 759 ) / 23

LCM(299,759) = 226941 / 23

LCM(299,759) = 9867


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 640/299, 9082/759

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 640/299, 9082/759?

Answer: GCF of Numerators as per given numbers 640/299, 9082/759 is

GCF of Numerators i.e. for 640,9082 is 2

LCM of denominators i.e. for 299,759 is 9867.

Thus, GCF of Fractions is 2/9867.Finally, GCF of Fractions for 640/299, 9082/759 is 2/9867.