Greatest Common Factor of 8589/373, 9900/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8589/373, 9900/470

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 8589/373,9900/470

Given fractions are 8589/373,9900/470

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 8589,9900

Greatest Common Factor of Numerators i.e. GCF of 8589,9900 is 3 .

LCM of Denominators means LCM of 373,470 as per the given fractions.

LCM of 373,470 is 175310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8589,9900

GCF of Fractions 8589/373,9900/470 is 3/175310

3 8589, 9900
2863, 3300

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

Greatest Common Factor of 8589,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 8589,9900 By Matching Biggest Common Factor Method

Factors of 8589

List of positive integer factors of 8589 that divides 8589 without a remainder.

1,3,7,21,409,1227,2863,8589

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 8589,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 8589,9900 is 3.

Lets's calculate LCM of 373,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 175310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175310

Therefore, the GCF of Fractions 8589/373,9900/470 is 3/175310

Least Common Multiple of 373,470 with GCF Formula

Least Common Multiple of 373,470 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 373,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,470) = 1

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

GCF(373,470) x common factors =1 x 1 = 1

LCM(373,470) = ( 373 × 470 ) / 1

LCM(373,470) = 175310 / 1

LCM(373,470) = 175310


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 8589/373, 9900/470

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 8589/373, 9900/470?

Answer: GCF of Numerators as per given numbers 8589/373, 9900/470 is

GCF of Numerators i.e. for 8589,9900 is 3

LCM of denominators i.e. for 373,470 is 175310.

Thus, GCF of Fractions is 3/175310.Finally, GCF of Fractions for 8589/373, 9900/470 is 3/175310.