Greatest Common Factor of 1804/27, 2659/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1804/27, 2659/779

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 1804/27,2659/779

Given fractions are 1804/27,2659/779

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 1804,2659

Greatest Common Factor of Numerators i.e. GCF of 1804,2659 is 1 .

LCM of Denominators means LCM of 27,779 as per the given fractions.

LCM of 27,779 is 21033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1804,2659

GCF of Fractions 1804/27,2659/779 is 1/21033

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

Greatest Common Factor of 1804,2659 By Matching Biggest Common Factor Method

Greatest Common Factor of 1804,2659 By Matching Biggest Common Factor Method

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1,2,4,11,22,41,44,82,164,451,902,1804

Factors of 2659

List of positive integer factors of 2659 that divides 2659 without a remainder.

1,2659

Greatest Common Factor

We found the factors 1804,2659 . The biggest common factor number is the GCF number.
So the greatest common factor 1804,2659 is 1.

Lets's calculate LCM of 27,779

Given numbers has no common factors except 1. So, there LCM is their product i.e 21033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21033

Therefore, the GCF of Fractions 1804/27,2659/779 is 1/21033

Least Common Multiple of 27,779 with GCF Formula

Least Common Multiple of 27,779 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 27,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,779) = 1

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

GCF(27,779) x common factors =1 x 1 = 1

LCM(27,779) = ( 27 × 779 ) / 1

LCM(27,779) = 21033 / 1

LCM(27,779) = 21033


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 1804/27, 2659/779

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 1804/27, 2659/779?

Answer: GCF of Numerators as per given numbers 1804/27, 2659/779 is

GCF of Numerators i.e. for 1804,2659 is 1

LCM of denominators i.e. for 27,779 is 21033.

Thus, GCF of Fractions is 1/21033.Finally, GCF of Fractions for 1804/27, 2659/779 is 1/21033.