Greatest Common Factor of 1909/804, 6927/5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1909/804, 6927/5171

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 1909/804,6927/5171

Given fractions are 1909/804,6927/5171

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 1909,6927

Greatest Common Factor of Numerators i.e. GCF of 1909,6927 is 1 .

LCM of Denominators means LCM of 804,5171 as per the given fractions.

LCM of 804,5171 is 4157484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1909,6927

GCF of Fractions 1909/804,6927/5171 is 1/4157484

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

Greatest Common Factor of 1909,6927 By Matching Biggest Common Factor Method

Greatest Common Factor of 1909,6927 By Matching Biggest Common Factor Method

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1,23,83,1909

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1,3,2309,6927

Greatest Common Factor

We found the factors 1909,6927 . The biggest common factor number is the GCF number.
So the greatest common factor 1909,6927 is 1.

Lets's calculate LCM of 804,5171

Given numbers has no common factors except 1. So, there LCM is their product i.e 4157484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4157484

Therefore, the GCF of Fractions 1909/804,6927/5171 is 1/4157484

Least Common Multiple of 804,5171 with GCF Formula

Least Common Multiple of 804,5171 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 804,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,5171) = 1

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

GCF(804,5171) x common factors =1 x 1 = 1

LCM(804,5171) = ( 804 × 5171 ) / 1

LCM(804,5171) = 4157484 / 1

LCM(804,5171) = 4157484


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 1909/804, 6927/5171

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 1909/804, 6927/5171?

Answer: GCF of Numerators as per given numbers 1909/804, 6927/5171 is

GCF of Numerators i.e. for 1909,6927 is 1

LCM of denominators i.e. for 804,5171 is 4157484.

Thus, GCF of Fractions is 1/4157484.Finally, GCF of Fractions for 1909/804, 6927/5171 is 1/4157484.