Greatest Common Factor of 813/17, 7491/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/17, 7491/689

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 813/17,7491/689

Given fractions are 813/17,7491/689

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 813,7491

Greatest Common Factor of Numerators i.e. GCF of 813,7491 is 3 .

LCM of Denominators means LCM of 17,689 as per the given fractions.

LCM of 17,689 is 11713 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,7491

GCF of Fractions 813/17,7491/689 is 3/11713

3 813, 7491
271, 2497

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

Greatest Common Factor of 813,7491 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,7491 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 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

Greatest Common Factor

We found the factors 813,7491 . The biggest common factor number is the GCF number.
So the greatest common factor 813,7491 is 3.

Lets's calculate LCM of 17,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 11713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11713

Therefore, the GCF of Fractions 813/17,7491/689 is 3/11713

Least Common Multiple of 17,689 with GCF Formula

Least Common Multiple of 17,689 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 17,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,689) = 1

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

GCF(17,689) x common factors =1 x 1 = 1

LCM(17,689) = ( 17 × 689 ) / 1

LCM(17,689) = 11713 / 1

LCM(17,689) = 11713


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 813/17, 7491/689

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 813/17, 7491/689?

Answer: GCF of Numerators as per given numbers 813/17, 7491/689 is

GCF of Numerators i.e. for 813,7491 is 3

LCM of denominators i.e. for 17,689 is 11713.

Thus, GCF of Fractions is 3/11713.Finally, GCF of Fractions for 813/17, 7491/689 is 3/11713.