Greatest Common Factor of 286/21, 504/80, 230/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/21, 504/80, 230/313

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 286/21,504/80,230/313

Given fractions are 286/21,504/80,230/313

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 286,504,230

Greatest Common Factor of Numerators i.e. GCF of 286,504,230 is 2 .

LCM of Denominators means LCM of 21,80,313 as per the given fractions.

LCM of 21,80,313 is 525840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,504,230

GCF of Fractions 286/21,504/80,230/313 is 2/525840

2 286, 504, 230
143, 252, 115

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

Greatest Common Factor of 286,504,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,504,230 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 230

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

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

Greatest Common Factor

We found the factors 286,504,230 . The biggest common factor number is the GCF number.
So the greatest common factor 286,504,230 is 2.

Lets's calculate LCM of 21,80,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 525840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/525840

Therefore, the GCF of Fractions 286/21,504/80,230/313 is 2/525840

Least Common Multiple of 21,80,313 with GCF Formula

Least Common Multiple of 21,80,313 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 21,80,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,80,313) = 1

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

GCF(21,80,313) x common factors =1 x 1 = 1

LCM(21,80,313) = ( 21 × 80 × 313 ) / 1

LCM(21,80,313) = 525840 / 1

LCM(21,80,313) = 525840


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 286/21, 504/80, 230/313

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 286/21, 504/80, 230/313?

Answer: GCF of Numerators as per given numbers 286/21, 504/80, 230/313 is

GCF of Numerators i.e. for 286,504,230 is 2

LCM of denominators i.e. for 21,80,313 is 525840.

Thus, GCF of Fractions is 2/525840.Finally, GCF of Fractions for 286/21, 504/80, 230/313 is 2/525840.