Greatest Common Factor of 800/664, 8210/6178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 800/664, 8210/6178

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 800/664,8210/6178

Given fractions are 800/664,8210/6178

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 800,8210

Greatest Common Factor of Numerators i.e. GCF of 800,8210 is 10 .

LCM of Denominators means LCM of 664,6178 as per the given fractions.

LCM of 664,6178 is 2051096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 800,8210

GCF of Fractions 800/664,8210/6178 is 10/2051096

2 800, 8210
5 400, 4105
80, 821

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 800,8210 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,8210 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 8210

List of positive integer factors of 8210 that divides 8210 without a remainder.

1,2,5,10,821,1642,4105,8210

Greatest Common Factor

We found the factors 800,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 800,8210 is 10.

Lets's calculate LCM of 664,6178

2 664, 6178
332, 3089

∴ So the LCM of the given numbers is 2 x 332 x 3089 = 2051096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2051096

Therefore, the GCF of Fractions 800/664,8210/6178 is 10/2051096

Least Common Multiple of 664,6178 with GCF Formula

Least Common Multiple of 664,6178 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 664,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,6178) = 2

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

GCF(664,6178) x common factors =2 x 1 = 2

LCM(664,6178) = ( 664 × 6178 ) / 2

LCM(664,6178) = 4102192 / 2

LCM(664,6178) = 2051096


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 800/664, 8210/6178

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 800/664, 8210/6178?

Answer: GCF of Numerators as per given numbers 800/664, 8210/6178 is

GCF of Numerators i.e. for 800,8210 is 10

LCM of denominators i.e. for 664,6178 is 2051096.

Thus, GCF of Fractions is 10/2051096.Finally, GCF of Fractions for 800/664, 8210/6178 is 10/2051096.