Greatest Common Factor of 1834/27, 8382/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1834/27, 8382/806

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 1834/27,8382/806

Given fractions are 1834/27,8382/806

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 1834,8382

Greatest Common Factor of Numerators i.e. GCF of 1834,8382 is 2 .

LCM of Denominators means LCM of 27,806 as per the given fractions.

LCM of 27,806 is 21762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1834,8382

GCF of Fractions 1834/27,8382/806 is 2/21762

2 1834, 8382
917, 4191

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1834,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 1834,8382 By Matching Biggest Common Factor Method

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 1834,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,8382 is 2.

Lets's calculate LCM of 27,806

Given numbers has no common factors except 1. So, there LCM is their product i.e 21762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21762

Therefore, the GCF of Fractions 1834/27,8382/806 is 2/21762

Least Common Multiple of 27,806 with GCF Formula

Least Common Multiple of 27,806 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 27,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,806) = 1

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

GCF(27,806) x common factors =1 x 1 = 1

LCM(27,806) = ( 27 × 806 ) / 1

LCM(27,806) = 21762 / 1

LCM(27,806) = 21762


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 1834/27, 8382/806

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 1834/27, 8382/806?

Answer: GCF of Numerators as per given numbers 1834/27, 8382/806 is

GCF of Numerators i.e. for 1834,8382 is 2

LCM of denominators i.e. for 27,806 is 21762.

Thus, GCF of Fractions is 2/21762.Finally, GCF of Fractions for 1834/27, 8382/806 is 2/21762.