Greatest Common Factor of 7489/789, 5220/8129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7489/789, 5220/8129

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 7489/789,5220/8129

Given fractions are 7489/789,5220/8129

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 7489,5220

Greatest Common Factor of Numerators i.e. GCF of 7489,5220 is 1 .

LCM of Denominators means LCM of 789,8129 as per the given fractions.

LCM of 789,8129 is 6413781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7489,5220

GCF of Fractions 7489/789,5220/8129 is 1/6413781

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

Greatest Common Factor of 7489,5220 By Matching Biggest Common Factor Method

Greatest Common Factor of 7489,5220 By Matching Biggest Common Factor Method

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1,7489

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Greatest Common Factor

We found the factors 7489,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 7489,5220 is 1.


Lets's calculate LCM of 789,8129

Given numbers has no common factors except 1. So, there LCM is their product i.e 6413781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6413781

Therefore, the GCF of Fractions 7489/789,5220/8129 is 1/6413781

Least Common Multiple of 789,8129 with GCF Formula

Least Common Multiple of 789,8129 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 789,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,8129) = 1

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

GCF(789,8129) x common factors =1 x 1 = 1

LCM(789,8129) = ( 789 × 8129 ) / 1

LCM(789,8129) = 6413781 / 1

LCM(789,8129) = 6413781


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7489/789, 5220/8129

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 7489/789, 5220/8129?

Answer: GCF of Numerators as per given numbers 7489/789, 5220/8129 is

GCF of Numerators i.e. for 7489,5220 is 1

LCM of denominators i.e. for 789,8129 is 6413781.

Thus, GCF of Fractions is 1/6413781.Finally, GCF of Fractions for 7489/789, 5220/8129 is 1/6413781.