Greatest Common Factor of 3030/489, 9810/8254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3030/489, 9810/8254

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 3030/489,9810/8254

Given fractions are 3030/489,9810/8254

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 3030,9810

Greatest Common Factor of Numerators i.e. GCF of 3030,9810 is 30 .

LCM of Denominators means LCM of 489,8254 as per the given fractions.

LCM of 489,8254 is 4036206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3030,9810

GCF of Fractions 3030/489,9810/8254 is 30/4036206

2 3030, 9810
3 1515, 4905
5 505, 1635
101, 327

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 3030,9810 By Matching Biggest Common Factor Method

Greatest Common Factor of 3030,9810 By Matching Biggest Common Factor Method

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810

Greatest Common Factor

We found the factors 3030,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,9810 is 30.

Lets's calculate LCM of 489,8254

Given numbers has no common factors except 1. So, there LCM is their product i.e 4036206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/4036206

Therefore, the GCF of Fractions 3030/489,9810/8254 is 30/4036206

Least Common Multiple of 489,8254 with GCF Formula

Least Common Multiple of 489,8254 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 489,8254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,8254) = 1

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

GCF(489,8254) x common factors =1 x 1 = 1

LCM(489,8254) = ( 489 × 8254 ) / 1

LCM(489,8254) = 4036206 / 1

LCM(489,8254) = 4036206


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 3030/489, 9810/8254

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 3030/489, 9810/8254?

Answer: GCF of Numerators as per given numbers 3030/489, 9810/8254 is

GCF of Numerators i.e. for 3030,9810 is 30

LCM of denominators i.e. for 489,8254 is 4036206.

Thus, GCF of Fractions is 30/4036206.Finally, GCF of Fractions for 3030/489, 9810/8254 is 30/4036206.