Greatest Common Factor of 44/706, 8173/8382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/706, 8173/8382

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 44/706,8173/8382

Given fractions are 44/706,8173/8382

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 44,8173

Greatest Common Factor of Numerators i.e. GCF of 44,8173 is 11 .

LCM of Denominators means LCM of 706,8382 as per the given fractions.

LCM of 706,8382 is 2958846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,8173

GCF of Fractions 44/706,8173/8382 is 11/2958846

11 44, 8173
4, 743

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

Greatest Common Factor of 44,8173 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,8173 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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 44,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 44,8173 is 11.

Lets's calculate LCM of 706,8382

2 706, 8382
353, 4191

∴ So the LCM of the given numbers is 2 x 353 x 4191 = 2958846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2958846

Therefore, the GCF of Fractions 44/706,8173/8382 is 11/2958846

Least Common Multiple of 706,8382 with GCF Formula

Least Common Multiple of 706,8382 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 706,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,8382) = 2

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

GCF(706,8382) x common factors =2 x 1 = 2

LCM(706,8382) = ( 706 × 8382 ) / 2

LCM(706,8382) = 5917692 / 2

LCM(706,8382) = 2958846


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 44/706, 8173/8382

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 44/706, 8173/8382?

Answer: GCF of Numerators as per given numbers 44/706, 8173/8382 is

GCF of Numerators i.e. for 44,8173 is 11

LCM of denominators i.e. for 706,8382 is 2958846.

Thus, GCF of Fractions is 11/2958846.Finally, GCF of Fractions for 44/706, 8173/8382 is 11/2958846.