Greatest Common Factor of 866/171, 8209/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/171, 8209/464

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 866/171,8209/464

Given fractions are 866/171,8209/464

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 866,8209

Greatest Common Factor of Numerators i.e. GCF of 866,8209 is 1 .

LCM of Denominators means LCM of 171,464 as per the given fractions.

LCM of 171,464 is 79344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,8209

GCF of Fractions 866/171,8209/464 is 1/79344

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

Greatest Common Factor of 866,8209 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,8209 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1,8209

Greatest Common Factor

We found the factors 866,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 866,8209 is 1.

Lets's calculate LCM of 171,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 79344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79344

Therefore, the GCF of Fractions 866/171,8209/464 is 1/79344

Least Common Multiple of 171,464 with GCF Formula

Least Common Multiple of 171,464 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 171,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,464) = 1

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

GCF(171,464) x common factors =1 x 1 = 1

LCM(171,464) = ( 171 × 464 ) / 1

LCM(171,464) = 79344 / 1

LCM(171,464) = 79344


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 866/171, 8209/464

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 866/171, 8209/464?

Answer: GCF of Numerators as per given numbers 866/171, 8209/464 is

GCF of Numerators i.e. for 866,8209 is 1

LCM of denominators i.e. for 171,464 is 79344.

Thus, GCF of Fractions is 1/79344.Finally, GCF of Fractions for 866/171, 8209/464 is 1/79344.