Greatest Common Factor of 386/43, 809/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/43, 809/274

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 386/43,809/274

Given fractions are 386/43,809/274

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 386,809

Greatest Common Factor of Numerators i.e. GCF of 386,809 is 1 .

LCM of Denominators means LCM of 43,274 as per the given fractions.

LCM of 43,274 is 11782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,809

GCF of Fractions 386/43,809/274 is 1/11782

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 386,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,809 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 386,809 . The biggest common factor number is the GCF number.
So the greatest common factor 386,809 is 1.

Lets's calculate LCM of 43,274

Given numbers has no common factors except 1. So, there LCM is their product i.e 11782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11782

Therefore, the GCF of Fractions 386/43,809/274 is 1/11782

Least Common Multiple of 43,274 with GCF Formula

Least Common Multiple of 43,274 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 43,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,274) = 1

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

GCF(43,274) x common factors =1 x 1 = 1

LCM(43,274) = ( 43 × 274 ) / 1

LCM(43,274) = 11782 / 1

LCM(43,274) = 11782


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 386/43, 809/274

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 386/43, 809/274?

Answer: GCF of Numerators as per given numbers 386/43, 809/274 is

GCF of Numerators i.e. for 386,809 is 1

LCM of denominators i.e. for 43,274 is 11782.

Thus, GCF of Fractions is 1/11782.Finally, GCF of Fractions for 386/43, 809/274 is 1/11782.