Greatest Common Factor of 2133/130, 8005/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2133/130, 8005/850

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 2133/130,8005/850

Given fractions are 2133/130,8005/850

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 2133,8005

Greatest Common Factor of Numerators i.e. GCF of 2133,8005 is 1 .

LCM of Denominators means LCM of 130,850 as per the given fractions.

LCM of 130,850 is 11050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2133,8005

GCF of Fractions 2133/130,8005/850 is 1/11050

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

Greatest Common Factor of 2133,8005 By Matching Biggest Common Factor Method

Greatest Common Factor of 2133,8005 By Matching Biggest Common Factor Method

Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1,3,9,27,79,237,711,2133

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1,5,1601,8005

Greatest Common Factor

We found the factors 2133,8005 . The biggest common factor number is the GCF number.
So the greatest common factor 2133,8005 is 1.

Lets's calculate LCM of 130,850

2 130, 850
5 65, 425
13, 85

∴ So the LCM of the given numbers is 2 x 5 x 13 x 85 = 11050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11050

Therefore, the GCF of Fractions 2133/130,8005/850 is 1/11050

Least Common Multiple of 130,850 with GCF Formula

Least Common Multiple of 130,850 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 130,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,850) = 10

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

GCF(130,850) x common factors =10 x 1 = 10

LCM(130,850) = ( 130 × 850 ) / 10

LCM(130,850) = 110500 / 10

LCM(130,850) = 11050


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 2133/130, 8005/850

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 2133/130, 8005/850?

Answer: GCF of Numerators as per given numbers 2133/130, 8005/850 is

GCF of Numerators i.e. for 2133,8005 is 1

LCM of denominators i.e. for 130,850 is 11050.

Thus, GCF of Fractions is 1/11050.Finally, GCF of Fractions for 2133/130, 8005/850 is 1/11050.