Greatest Common Factor of 4845/213, 2886/7266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4845/213, 2886/7266

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 4845/213,2886/7266

Given fractions are 4845/213,2886/7266

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 4845,2886

Greatest Common Factor of Numerators i.e. GCF of 4845,2886 is 3 .

LCM of Denominators means LCM of 213,7266 as per the given fractions.

LCM of 213,7266 is 515886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4845,2886

GCF of Fractions 4845/213,2886/7266 is 3/515886

3 4845, 2886
1615, 962

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

Greatest Common Factor of 4845,2886 By Matching Biggest Common Factor Method

Greatest Common Factor of 4845,2886 By Matching Biggest Common Factor Method

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Factors of 2886

List of positive integer factors of 2886 that divides 2886 without a remainder.

1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886

Greatest Common Factor

We found the factors 4845,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,2886 is 3.

Lets's calculate LCM of 213,7266

3 213, 7266
71, 2422

∴ So the LCM of the given numbers is 3 x 71 x 2422 = 515886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/515886

Therefore, the GCF of Fractions 4845/213,2886/7266 is 3/515886

Least Common Multiple of 213,7266 with GCF Formula

Least Common Multiple of 213,7266 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 213,7266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,7266) = 3

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

GCF(213,7266) x common factors =3 x 1 = 3

LCM(213,7266) = ( 213 × 7266 ) / 3

LCM(213,7266) = 1547658 / 3

LCM(213,7266) = 515886


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 4845/213, 2886/7266

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 4845/213, 2886/7266?

Answer: GCF of Numerators as per given numbers 4845/213, 2886/7266 is

GCF of Numerators i.e. for 4845,2886 is 3

LCM of denominators i.e. for 213,7266 is 515886.

Thus, GCF of Fractions is 3/515886.Finally, GCF of Fractions for 4845/213, 2886/7266 is 3/515886.