Greatest Common Factor of 8727/791, 3621/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8727/791, 3621/811

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 8727/791,3621/811

Given fractions are 8727/791,3621/811

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 8727,3621

Greatest Common Factor of Numerators i.e. GCF of 8727,3621 is 3 .

LCM of Denominators means LCM of 791,811 as per the given fractions.

LCM of 791,811 is 641501 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8727,3621

GCF of Fractions 8727/791,3621/811 is 3/641501

3 8727, 3621
2909, 1207

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

Greatest Common Factor of 8727,3621 By Matching Biggest Common Factor Method

Greatest Common Factor of 8727,3621 By Matching Biggest Common Factor Method

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1,3,2909,8727

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Greatest Common Factor

We found the factors 8727,3621 . The biggest common factor number is the GCF number.
So the greatest common factor 8727,3621 is 3.

Lets's calculate LCM of 791,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 641501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/641501

Therefore, the GCF of Fractions 8727/791,3621/811 is 3/641501

Least Common Multiple of 791,811 with GCF Formula

Least Common Multiple of 791,811 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 791,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,811) = 1

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

GCF(791,811) x common factors =1 x 1 = 1

LCM(791,811) = ( 791 × 811 ) / 1

LCM(791,811) = 641501 / 1

LCM(791,811) = 641501


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 8727/791, 3621/811

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 8727/791, 3621/811?

Answer: GCF of Numerators as per given numbers 8727/791, 3621/811 is

GCF of Numerators i.e. for 8727,3621 is 3

LCM of denominators i.e. for 791,811 is 641501.

Thus, GCF of Fractions is 3/641501.Finally, GCF of Fractions for 8727/791, 3621/811 is 3/641501.