Greatest Common Factor of 5883/816, 8094/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5883/816, 8094/621

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 5883/816,8094/621

Given fractions are 5883/816,8094/621

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 5883,8094

Greatest Common Factor of Numerators i.e. GCF of 5883,8094 is 3 .

LCM of Denominators means LCM of 816,621 as per the given fractions.

LCM of 816,621 is 168912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5883,8094

GCF of Fractions 5883/816,8094/621 is 3/168912

3 5883, 8094
1961, 2698

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

Greatest Common Factor of 5883,8094 By Matching Biggest Common Factor Method

Greatest Common Factor of 5883,8094 By Matching Biggest Common Factor Method

Factors of 5883

List of positive integer factors of 5883 that divides 5883 without a remainder.

1,3,37,53,111,159,1961,5883

Factors of 8094

List of positive integer factors of 8094 that divides 8094 without a remainder.

1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094

Greatest Common Factor

We found the factors 5883,8094 . The biggest common factor number is the GCF number.
So the greatest common factor 5883,8094 is 3.

Lets's calculate LCM of 816,621

3 816, 621
272, 207

∴ So the LCM of the given numbers is 3 x 272 x 207 = 168912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/168912

Therefore, the GCF of Fractions 5883/816,8094/621 is 3/168912

Least Common Multiple of 816,621 with GCF Formula

Least Common Multiple of 816,621 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 816,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,621) = 3

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

GCF(816,621) x common factors =3 x 1 = 3

LCM(816,621) = ( 816 × 621 ) / 3

LCM(816,621) = 506736 / 3

LCM(816,621) = 168912


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 5883/816, 8094/621

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 5883/816, 8094/621?

Answer: GCF of Numerators as per given numbers 5883/816, 8094/621 is

GCF of Numerators i.e. for 5883,8094 is 3

LCM of denominators i.e. for 816,621 is 168912.

Thus, GCF of Fractions is 3/168912.Finally, GCF of Fractions for 5883/816, 8094/621 is 3/168912.