Greatest Common Factor of 287/18, 6500/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 287/18, 6500/143

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 287/18,6500/143

Given fractions are 287/18,6500/143

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 287,6500

Greatest Common Factor of Numerators i.e. GCF of 287,6500 is 1 .

LCM of Denominators means LCM of 18,143 as per the given fractions.

LCM of 18,143 is 2574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 287,6500

GCF of Fractions 287/18,6500/143 is 1/2574

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 287,6500 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,6500 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Greatest Common Factor

We found the factors 287,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 287,6500 is 1.

Lets's calculate LCM of 18,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 2574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2574

Therefore, the GCF of Fractions 287/18,6500/143 is 1/2574

Least Common Multiple of 18,143 with GCF Formula

Least Common Multiple of 18,143 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 18,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,143) = 1

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

GCF(18,143) x common factors =1 x 1 = 1

LCM(18,143) = ( 18 × 143 ) / 1

LCM(18,143) = 2574 / 1

LCM(18,143) = 2574


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 287/18, 6500/143

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 287/18, 6500/143?

Answer: GCF of Numerators as per given numbers 287/18, 6500/143 is

GCF of Numerators i.e. for 287,6500 is 1

LCM of denominators i.e. for 18,143 is 2574.

Thus, GCF of Fractions is 1/2574.Finally, GCF of Fractions for 287/18, 6500/143 is 1/2574.