Greatest Common Factor of 206/904, 390/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/904, 390/230

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 206/904,390/230

Given fractions are 206/904,390/230

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 206,390

Greatest Common Factor of Numerators i.e. GCF of 206,390 is 2 .

LCM of Denominators means LCM of 904,230 as per the given fractions.

LCM of 904,230 is 103960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,390

GCF of Fractions 206/904,390/230 is 2/103960

2 206, 390
103, 195

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,390 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 206,390 . The biggest common factor number is the GCF number.
So the greatest common factor 206,390 is 2.

Lets's calculate LCM of 904,230

2 904, 230
452, 115

∴ So the LCM of the given numbers is 2 x 452 x 115 = 103960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103960

Therefore, the GCF of Fractions 206/904,390/230 is 2/103960

Least Common Multiple of 904,230 with GCF Formula

Least Common Multiple of 904,230 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 904,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,230) = 2

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

GCF(904,230) x common factors =2 x 1 = 2

LCM(904,230) = ( 904 × 230 ) / 2

LCM(904,230) = 207920 / 2

LCM(904,230) = 103960


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 206/904, 390/230

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 206/904, 390/230?

Answer: GCF of Numerators as per given numbers 206/904, 390/230 is

GCF of Numerators i.e. for 206,390 is 2

LCM of denominators i.e. for 904,230 is 103960.

Thus, GCF of Fractions is 2/103960.Finally, GCF of Fractions for 206/904, 390/230 is 2/103960.