Greatest Common Factor of 8163/270, 4956/2366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8163/270, 4956/2366

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 8163/270,4956/2366

Given fractions are 8163/270,4956/2366

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 8163,4956

Greatest Common Factor of Numerators i.e. GCF of 8163,4956 is 3 .

LCM of Denominators means LCM of 270,2366 as per the given fractions.

LCM of 270,2366 is 319410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8163,4956

GCF of Fractions 8163/270,4956/2366 is 3/319410

3 8163, 4956
2721, 1652

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8163,4956 By Matching Biggest Common Factor Method

Greatest Common Factor of 8163,4956 By Matching Biggest Common Factor Method

Factors of 8163

List of positive integer factors of 8163 that divides 8163 without a remainder.

1,3,9,907,2721,8163

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Greatest Common Factor

We found the factors 8163,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,4956 is 3.

Lets's calculate LCM of 270,2366

2 270, 2366
135, 1183

∴ So the LCM of the given numbers is 2 x 135 x 1183 = 319410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/319410

Therefore, the GCF of Fractions 8163/270,4956/2366 is 3/319410

Least Common Multiple of 270,2366 with GCF Formula

Least Common Multiple of 270,2366 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 270,2366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,2366) = 2

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

GCF(270,2366) x common factors =2 x 1 = 2

LCM(270,2366) = ( 270 × 2366 ) / 2

LCM(270,2366) = 638820 / 2

LCM(270,2366) = 319410


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 8163/270, 4956/2366

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 8163/270, 4956/2366?

Answer: GCF of Numerators as per given numbers 8163/270, 4956/2366 is

GCF of Numerators i.e. for 8163,4956 is 3

LCM of denominators i.e. for 270,2366 is 319410.

Thus, GCF of Fractions is 3/319410.Finally, GCF of Fractions for 8163/270, 4956/2366 is 3/319410.