Greatest Common Factor of 8396/330, 1280/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8396/330, 1280/675

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 8396/330,1280/675

Given fractions are 8396/330,1280/675

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 8396,1280

Greatest Common Factor of Numerators i.e. GCF of 8396,1280 is 4 .

LCM of Denominators means LCM of 330,675 as per the given fractions.

LCM of 330,675 is 14850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8396,1280

GCF of Fractions 8396/330,1280/675 is 4/14850

2 8396, 1280
2 4198, 640
2099, 320

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8396,1280 By Matching Biggest Common Factor Method

Greatest Common Factor of 8396,1280 By Matching Biggest Common Factor Method

Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1,2,4,2099,4198,8396

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

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

Greatest Common Factor

We found the factors 8396,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 8396,1280 is 4.

Lets's calculate LCM of 330,675

3 330, 675
5 110, 225
22, 45

∴ So the LCM of the given numbers is 3 x 5 x 22 x 45 = 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14850

Therefore, the GCF of Fractions 8396/330,1280/675 is 4/14850

Least Common Multiple of 330,675 with GCF Formula

Least Common Multiple of 330,675 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 330,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,675) = 15

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

GCF(330,675) x common factors =15 x 1 = 15

LCM(330,675) = ( 330 × 675 ) / 15

LCM(330,675) = 222750 / 15

LCM(330,675) = 14850


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 8396/330, 1280/675

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 8396/330, 1280/675?

Answer: GCF of Numerators as per given numbers 8396/330, 1280/675 is

GCF of Numerators i.e. for 8396,1280 is 4

LCM of denominators i.e. for 330,675 is 14850.

Thus, GCF of Fractions is 4/14850.Finally, GCF of Fractions for 8396/330, 1280/675 is 4/14850.