Greatest Common Factor of 8419/18, 2550/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8419/18, 2550/483

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 8419/18,2550/483

Given fractions are 8419/18,2550/483

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 8419,2550

Greatest Common Factor of Numerators i.e. GCF of 8419,2550 is 1 .

LCM of Denominators means LCM of 18,483 as per the given fractions.

LCM of 18,483 is 2898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8419,2550

GCF of Fractions 8419/18,2550/483 is 1/2898

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

Greatest Common Factor of 8419,2550 By Matching Biggest Common Factor Method

Greatest Common Factor of 8419,2550 By Matching Biggest Common Factor Method

Factors of 8419

List of positive integer factors of 8419 that divides 8419 without a remainder.

1,8419

Factors of 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors 8419,2550 . The biggest common factor number is the GCF number.
So the greatest common factor 8419,2550 is 1.

Lets's calculate LCM of 18,483

3 18, 483
6, 161

∴ So the LCM of the given numbers is 3 x 6 x 161 = 2898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2898

Therefore, the GCF of Fractions 8419/18,2550/483 is 1/2898

Least Common Multiple of 18,483 with GCF Formula

Least Common Multiple of 18,483 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 18,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,483) = 3

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

GCF(18,483) x common factors =3 x 1 = 3

LCM(18,483) = ( 18 × 483 ) / 3

LCM(18,483) = 8694 / 3

LCM(18,483) = 2898


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 8419/18, 2550/483

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 8419/18, 2550/483?

Answer: GCF of Numerators as per given numbers 8419/18, 2550/483 is

GCF of Numerators i.e. for 8419,2550 is 1

LCM of denominators i.e. for 18,483 is 2898.

Thus, GCF of Fractions is 1/2898.Finally, GCF of Fractions for 8419/18, 2550/483 is 1/2898.