Greatest Common Factor of 1133/23, 6589/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1133/23, 6589/985

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 1133/23,6589/985

Given fractions are 1133/23,6589/985

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 1133,6589

Greatest Common Factor of Numerators i.e. GCF of 1133,6589 is 11 .

LCM of Denominators means LCM of 23,985 as per the given fractions.

LCM of 23,985 is 22655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1133,6589

GCF of Fractions 1133/23,6589/985 is 11/22655

11 1133, 6589
103, 599

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1133,6589 By Matching Biggest Common Factor Method

Greatest Common Factor of 1133,6589 By Matching Biggest Common Factor Method

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1,11,103,1133

Factors of 6589

List of positive integer factors of 6589 that divides 6589 without a remainder.

1,11,599,6589

Greatest Common Factor

We found the factors 1133,6589 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,6589 is 11.

Lets's calculate LCM of 23,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 22655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/22655

Therefore, the GCF of Fractions 1133/23,6589/985 is 11/22655

Least Common Multiple of 23,985 with GCF Formula

Least Common Multiple of 23,985 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 23,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,985) = 1

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

GCF(23,985) x common factors =1 x 1 = 1

LCM(23,985) = ( 23 × 985 ) / 1

LCM(23,985) = 22655 / 1

LCM(23,985) = 22655


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 1133/23, 6589/985

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 1133/23, 6589/985?

Answer: GCF of Numerators as per given numbers 1133/23, 6589/985 is

GCF of Numerators i.e. for 1133,6589 is 11

LCM of denominators i.e. for 23,985 is 22655.

Thus, GCF of Fractions is 11/22655.Finally, GCF of Fractions for 1133/23, 6589/985 is 11/22655.