Greatest Common Factor of 804/386, 8234/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/386, 8234/209

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 804/386,8234/209

Given fractions are 804/386,8234/209

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 804,8234

Greatest Common Factor of Numerators i.e. GCF of 804,8234 is 2 .

LCM of Denominators means LCM of 386,209 as per the given fractions.

LCM of 386,209 is 80674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,8234

GCF of Fractions 804/386,8234/209 is 2/80674

2 804, 8234
402, 4117

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

Greatest Common Factor of 804,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,8234 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 804,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 804,8234 is 2.

Lets's calculate LCM of 386,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 80674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80674

Therefore, the GCF of Fractions 804/386,8234/209 is 2/80674

Least Common Multiple of 386,209 with GCF Formula

Least Common Multiple of 386,209 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 386,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,209) = 1

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

GCF(386,209) x common factors =1 x 1 = 1

LCM(386,209) = ( 386 × 209 ) / 1

LCM(386,209) = 80674 / 1

LCM(386,209) = 80674


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 804/386, 8234/209

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 804/386, 8234/209?

Answer: GCF of Numerators as per given numbers 804/386, 8234/209 is

GCF of Numerators i.e. for 804,8234 is 2

LCM of denominators i.e. for 386,209 is 80674.

Thus, GCF of Fractions is 2/80674.Finally, GCF of Fractions for 804/386, 8234/209 is 2/80674.