Greatest Common Factor of 813/983, 8517/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/983, 8517/689

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 813/983,8517/689

Given fractions are 813/983,8517/689

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 813,8517

Greatest Common Factor of Numerators i.e. GCF of 813,8517 is 3 .

LCM of Denominators means LCM of 983,689 as per the given fractions.

LCM of 983,689 is 677287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,8517

GCF of Fractions 813/983,8517/689 is 3/677287

3 813, 8517
271, 2839

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 813,8517 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,8517 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Greatest Common Factor

We found the factors 813,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 813,8517 is 3.

Lets's calculate LCM of 983,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 677287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/677287

Therefore, the GCF of Fractions 813/983,8517/689 is 3/677287

Least Common Multiple of 983,689 with GCF Formula

Least Common Multiple of 983,689 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 983,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,689) = 1

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

GCF(983,689) x common factors =1 x 1 = 1

LCM(983,689) = ( 983 × 689 ) / 1

LCM(983,689) = 677287 / 1

LCM(983,689) = 677287


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 813/983, 8517/689

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 813/983, 8517/689?

Answer: GCF of Numerators as per given numbers 813/983, 8517/689 is

GCF of Numerators i.e. for 813,8517 is 3

LCM of denominators i.e. for 983,689 is 677287.

Thus, GCF of Fractions is 3/677287.Finally, GCF of Fractions for 813/983, 8517/689 is 3/677287.