Greatest Common Factor of 8105/27, 4284/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8105/27, 4284/966

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 8105/27,4284/966

Given fractions are 8105/27,4284/966

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 8105,4284

Greatest Common Factor of Numerators i.e. GCF of 8105,4284 is 1 .

LCM of Denominators means LCM of 27,966 as per the given fractions.

LCM of 27,966 is 8694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8105,4284

GCF of Fractions 8105/27,4284/966 is 1/8694

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

Greatest Common Factor of 8105,4284 By Matching Biggest Common Factor Method

Greatest Common Factor of 8105,4284 By Matching Biggest Common Factor Method

Factors of 8105

List of positive integer factors of 8105 that divides 8105 without a remainder.

1,5,1621,8105

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors 8105,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 8105,4284 is 1.

Lets's calculate LCM of 27,966

3 27, 966
9, 322

∴ So the LCM of the given numbers is 3 x 9 x 322 = 8694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694

Therefore, the GCF of Fractions 8105/27,4284/966 is 1/8694

Least Common Multiple of 27,966 with GCF Formula

Least Common Multiple of 27,966 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 27,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,966) = 3

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

GCF(27,966) x common factors =3 x 1 = 3

LCM(27,966) = ( 27 × 966 ) / 3

LCM(27,966) = 26082 / 3

LCM(27,966) = 8694


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 8105/27, 4284/966

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 8105/27, 4284/966?

Answer: GCF of Numerators as per given numbers 8105/27, 4284/966 is

GCF of Numerators i.e. for 8105,4284 is 1

LCM of denominators i.e. for 27,966 is 8694.

Thus, GCF of Fractions is 1/8694.Finally, GCF of Fractions for 8105/27, 4284/966 is 1/8694.