Greatest Common Factor of 1144/27, 8500/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1144/27, 8500/587

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 1144/27,8500/587

Given fractions are 1144/27,8500/587

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 1144,8500

Greatest Common Factor of Numerators i.e. GCF of 1144,8500 is 4 .

LCM of Denominators means LCM of 27,587 as per the given fractions.

LCM of 27,587 is 15849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1144,8500

GCF of Fractions 1144/27,8500/587 is 4/15849

2 1144, 8500
2 572, 4250
286, 2125

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1144,8500 By Matching Biggest Common Factor Method

Greatest Common Factor of 1144,8500 By Matching Biggest Common Factor Method

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500

Greatest Common Factor

We found the factors 1144,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,8500 is 4.

Lets's calculate LCM of 27,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 15849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15849

Therefore, the GCF of Fractions 1144/27,8500/587 is 4/15849

Least Common Multiple of 27,587 with GCF Formula

Least Common Multiple of 27,587 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 27,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,587) = 1

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

GCF(27,587) x common factors =1 x 1 = 1

LCM(27,587) = ( 27 × 587 ) / 1

LCM(27,587) = 15849 / 1

LCM(27,587) = 15849


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 1144/27, 8500/587

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 1144/27, 8500/587?

Answer: GCF of Numerators as per given numbers 1144/27, 8500/587 is

GCF of Numerators i.e. for 1144,8500 is 4

LCM of denominators i.e. for 27,587 is 15849.

Thus, GCF of Fractions is 4/15849.Finally, GCF of Fractions for 1144/27, 8500/587 is 4/15849.