Greatest Common Factor of 9000/71, 2487/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9000/71, 2487/214

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 9000/71,2487/214

Given fractions are 9000/71,2487/214

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 9000,2487

Greatest Common Factor of Numerators i.e. GCF of 9000,2487 is 3 .

LCM of Denominators means LCM of 71,214 as per the given fractions.

LCM of 71,214 is 15194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9000,2487

GCF of Fractions 9000/71,2487/214 is 3/15194

3 9000, 2487
3000, 829

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

Greatest Common Factor of 9000,2487 By Matching Biggest Common Factor Method

Greatest Common Factor of 9000,2487 By Matching Biggest Common Factor Method

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Factors of 2487

List of positive integer factors of 2487 that divides 2487 without a remainder.

1,3,829,2487

Greatest Common Factor

We found the factors 9000,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 9000,2487 is 3.

Lets's calculate LCM of 71,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 15194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15194

Therefore, the GCF of Fractions 9000/71,2487/214 is 3/15194

Least Common Multiple of 71,214 with GCF Formula

Least Common Multiple of 71,214 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 71,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,214) = 1

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

GCF(71,214) x common factors =1 x 1 = 1

LCM(71,214) = ( 71 × 214 ) / 1

LCM(71,214) = 15194 / 1

LCM(71,214) = 15194


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 9000/71, 2487/214

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 9000/71, 2487/214?

Answer: GCF of Numerators as per given numbers 9000/71, 2487/214 is

GCF of Numerators i.e. for 9000,2487 is 3

LCM of denominators i.e. for 71,214 is 15194.

Thus, GCF of Fractions is 3/15194.Finally, GCF of Fractions for 9000/71, 2487/214 is 3/15194.