Greatest Common Factor of 8238/838, 4230/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8238/838, 4230/867

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 8238/838,4230/867

Given fractions are 8238/838,4230/867

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 8238,4230

Greatest Common Factor of Numerators i.e. GCF of 8238,4230 is 6 .

LCM of Denominators means LCM of 838,867 as per the given fractions.

LCM of 838,867 is 726546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8238,4230

GCF of Fractions 8238/838,4230/867 is 6/726546

2 8238, 4230
3 4119, 2115
1373, 705

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8238,4230 By Matching Biggest Common Factor Method

Greatest Common Factor of 8238,4230 By Matching Biggest Common Factor Method

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Greatest Common Factor

We found the factors 8238,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 8238,4230 is 6.

Lets's calculate LCM of 838,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 726546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/726546

Therefore, the GCF of Fractions 8238/838,4230/867 is 6/726546

Least Common Multiple of 838,867 with GCF Formula

Least Common Multiple of 838,867 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 838,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,867) = 1

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

GCF(838,867) x common factors =1 x 1 = 1

LCM(838,867) = ( 838 × 867 ) / 1

LCM(838,867) = 726546 / 1

LCM(838,867) = 726546


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 8238/838, 4230/867

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 8238/838, 4230/867?

Answer: GCF of Numerators as per given numbers 8238/838, 4230/867 is

GCF of Numerators i.e. for 8238,4230 is 6

LCM of denominators i.e. for 838,867 is 726546.

Thus, GCF of Fractions is 6/726546.Finally, GCF of Fractions for 8238/838, 4230/867 is 6/726546.