Greatest Common Factor of 2889/644, 2310/5055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2889/644, 2310/5055

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 2889/644,2310/5055

Given fractions are 2889/644,2310/5055

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 2889,2310

Greatest Common Factor of Numerators i.e. GCF of 2889,2310 is 3 .

LCM of Denominators means LCM of 644,5055 as per the given fractions.

LCM of 644,5055 is 3255420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2889,2310

GCF of Fractions 2889/644,2310/5055 is 3/3255420

3 2889, 2310
963, 770

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

Greatest Common Factor of 2889,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 2889,2310 By Matching Biggest Common Factor Method

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1,3,9,27,107,321,963,2889

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 2889,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 2889,2310 is 3.

Lets's calculate LCM of 644,5055

Given numbers has no common factors except 1. So, there LCM is their product i.e 3255420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3255420

Therefore, the GCF of Fractions 2889/644,2310/5055 is 3/3255420

Least Common Multiple of 644,5055 with GCF Formula

Least Common Multiple of 644,5055 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 644,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,5055) = 1

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

GCF(644,5055) x common factors =1 x 1 = 1

LCM(644,5055) = ( 644 × 5055 ) / 1

LCM(644,5055) = 3255420 / 1

LCM(644,5055) = 3255420


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 2889/644, 2310/5055

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 2889/644, 2310/5055?

Answer: GCF of Numerators as per given numbers 2889/644, 2310/5055 is

GCF of Numerators i.e. for 2889,2310 is 3

LCM of denominators i.e. for 644,5055 is 3255420.

Thus, GCF of Fractions is 3/3255420.Finally, GCF of Fractions for 2889/644, 2310/5055 is 3/3255420.