Greatest Common Factor of 230/452, 2390/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/452, 2390/877

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 230/452,2390/877

Given fractions are 230/452,2390/877

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 230,2390

Greatest Common Factor of Numerators i.e. GCF of 230,2390 is 10 .

LCM of Denominators means LCM of 452,877 as per the given fractions.

LCM of 452,877 is 396404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,2390

GCF of Fractions 230/452,2390/877 is 10/396404

2 230, 2390
5 115, 1195
23, 239

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 230,2390 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,2390 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 2390

List of positive integer factors of 2390 that divides 2390 without a remainder.

1,2,5,10,239,478,1195,2390

Greatest Common Factor

We found the factors 230,2390 . The biggest common factor number is the GCF number.
So the greatest common factor 230,2390 is 10.

Lets's calculate LCM of 452,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 396404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/396404

Therefore, the GCF of Fractions 230/452,2390/877 is 10/396404

Least Common Multiple of 452,877 with GCF Formula

Least Common Multiple of 452,877 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 452,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,877) = 1

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

GCF(452,877) x common factors =1 x 1 = 1

LCM(452,877) = ( 452 × 877 ) / 1

LCM(452,877) = 396404 / 1

LCM(452,877) = 396404


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 230/452, 2390/877

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 230/452, 2390/877?

Answer: GCF of Numerators as per given numbers 230/452, 2390/877 is

GCF of Numerators i.e. for 230,2390 is 10

LCM of denominators i.e. for 452,877 is 396404.

Thus, GCF of Fractions is 10/396404.Finally, GCF of Fractions for 230/452, 2390/877 is 10/396404.