Greatest Common Factor of 1853/605, 8577/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1853/605, 8577/804

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 1853/605,8577/804

Given fractions are 1853/605,8577/804

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 1853,8577

Greatest Common Factor of Numerators i.e. GCF of 1853,8577 is 1 .

LCM of Denominators means LCM of 605,804 as per the given fractions.

LCM of 605,804 is 486420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1853,8577

GCF of Fractions 1853/605,8577/804 is 1/486420

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

Greatest Common Factor of 1853,8577 By Matching Biggest Common Factor Method

Greatest Common Factor of 1853,8577 By Matching Biggest Common Factor Method

Factors of 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1,17,109,1853

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Greatest Common Factor

We found the factors 1853,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 1853,8577 is 1.

Lets's calculate LCM of 605,804

Given numbers has no common factors except 1. So, there LCM is their product i.e 486420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486420

Therefore, the GCF of Fractions 1853/605,8577/804 is 1/486420

Least Common Multiple of 605,804 with GCF Formula

Least Common Multiple of 605,804 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 605,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,804) = 1

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

GCF(605,804) x common factors =1 x 1 = 1

LCM(605,804) = ( 605 × 804 ) / 1

LCM(605,804) = 486420 / 1

LCM(605,804) = 486420


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 1853/605, 8577/804

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 1853/605, 8577/804?

Answer: GCF of Numerators as per given numbers 1853/605, 8577/804 is

GCF of Numerators i.e. for 1853,8577 is 1

LCM of denominators i.e. for 605,804 is 486420.

Thus, GCF of Fractions is 1/486420.Finally, GCF of Fractions for 1853/605, 8577/804 is 1/486420.