Greatest Common Factor of 4686/422, 8173/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4686/422, 8173/843

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 4686/422,8173/843

Given fractions are 4686/422,8173/843

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 4686,8173

Greatest Common Factor of Numerators i.e. GCF of 4686,8173 is 11 .

LCM of Denominators means LCM of 422,843 as per the given fractions.

LCM of 422,843 is 355746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4686,8173

GCF of Fractions 4686/422,8173/843 is 11/355746

11 4686, 8173
426, 743

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4686,8173 By Matching Biggest Common Factor Method

Greatest Common Factor of 4686,8173 By Matching Biggest Common Factor Method

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1,11,743,8173

Greatest Common Factor

We found the factors 4686,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 4686,8173 is 11.

Lets's calculate LCM of 422,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 355746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/355746

Therefore, the GCF of Fractions 4686/422,8173/843 is 11/355746

Least Common Multiple of 422,843 with GCF Formula

Least Common Multiple of 422,843 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 422,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,843) = 1

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

GCF(422,843) x common factors =1 x 1 = 1

LCM(422,843) = ( 422 × 843 ) / 1

LCM(422,843) = 355746 / 1

LCM(422,843) = 355746


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 4686/422, 8173/843

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 4686/422, 8173/843?

Answer: GCF of Numerators as per given numbers 4686/422, 8173/843 is

GCF of Numerators i.e. for 4686,8173 is 11

LCM of denominators i.e. for 422,843 is 355746.

Thus, GCF of Fractions is 11/355746.Finally, GCF of Fractions for 4686/422, 8173/843 is 11/355746.