Greatest Common Factor of 8559/817, 3998/4826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8559/817, 3998/4826

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 8559/817,3998/4826

Given fractions are 8559/817,3998/4826

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 8559,3998

Greatest Common Factor of Numerators i.e. GCF of 8559,3998 is 1 .

LCM of Denominators means LCM of 817,4826 as per the given fractions.

LCM of 817,4826 is 207518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8559,3998

GCF of Fractions 8559/817,3998/4826 is 1/207518

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

Greatest Common Factor of 8559,3998 By Matching Biggest Common Factor Method

Greatest Common Factor of 8559,3998 By Matching Biggest Common Factor Method

Factors of 8559

List of positive integer factors of 8559 that divides 8559 without a remainder.

1,3,9,27,317,951,2853,8559

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Greatest Common Factor

We found the factors 8559,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 8559,3998 is 1.


Lets's calculate LCM of 817,4826

19 817, 4826
43, 254

∴ So the LCM of the given numbers is 19 x 43 x 254 = 207518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207518

Therefore, the GCF of Fractions 8559/817,3998/4826 is 1/207518

Least Common Multiple of 817,4826 with GCF Formula

Least Common Multiple of 817,4826 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 817,4826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,4826) = 19

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

GCF(817,4826) x common factors =19 x 1 = 19

LCM(817,4826) = ( 817 × 4826 ) / 19

LCM(817,4826) = 3942842 / 19

LCM(817,4826) = 207518


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8559/817, 3998/4826

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 8559/817, 3998/4826?

Answer: GCF of Numerators as per given numbers 8559/817, 3998/4826 is

GCF of Numerators i.e. for 8559,3998 is 1

LCM of denominators i.e. for 817,4826 is 207518.

Thus, GCF of Fractions is 1/207518.Finally, GCF of Fractions for 8559/817, 3998/4826 is 1/207518.