Greatest Common Factor of 6661/34, 8166/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6661/34, 8166/814

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 6661/34,8166/814

Given fractions are 6661/34,8166/814

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 6661,8166

Greatest Common Factor of Numerators i.e. GCF of 6661,8166 is 1 .

LCM of Denominators means LCM of 34,814 as per the given fractions.

LCM of 34,814 is 13838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6661,8166

GCF of Fractions 6661/34,8166/814 is 1/13838

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

Greatest Common Factor of 6661,8166 By Matching Biggest Common Factor Method

Greatest Common Factor of 6661,8166 By Matching Biggest Common Factor Method

Factors of 6661

List of positive integer factors of 6661 that divides 6661 without a remainder.

1,6661

Factors of 8166

List of positive integer factors of 8166 that divides 8166 without a remainder.

1,2,3,6,1361,2722,4083,8166

Greatest Common Factor

We found the factors 6661,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 6661,8166 is 1.

Lets's calculate LCM of 34,814

2 34, 814
17, 407

∴ So the LCM of the given numbers is 2 x 17 x 407 = 13838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13838

Therefore, the GCF of Fractions 6661/34,8166/814 is 1/13838

Least Common Multiple of 34,814 with GCF Formula

Least Common Multiple of 34,814 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 34,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,814) = 2

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

GCF(34,814) x common factors =2 x 1 = 2

LCM(34,814) = ( 34 × 814 ) / 2

LCM(34,814) = 27676 / 2

LCM(34,814) = 13838


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 6661/34, 8166/814

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 6661/34, 8166/814?

Answer: GCF of Numerators as per given numbers 6661/34, 8166/814 is

GCF of Numerators i.e. for 6661,8166 is 1

LCM of denominators i.e. for 34,814 is 13838.

Thus, GCF of Fractions is 1/13838.Finally, GCF of Fractions for 6661/34, 8166/814 is 1/13838.