Greatest Common Factor of 9390/613, 5127/6289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9390/613, 5127/6289

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 9390/613,5127/6289

Given fractions are 9390/613,5127/6289

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 9390,5127

Greatest Common Factor of Numerators i.e. GCF of 9390,5127 is 3 .

LCM of Denominators means LCM of 613,6289 as per the given fractions.

LCM of 613,6289 is 3855157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9390,5127

GCF of Fractions 9390/613,5127/6289 is 3/3855157

3 9390, 5127
3130, 1709

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

Greatest Common Factor of 9390,5127 By Matching Biggest Common Factor Method

Greatest Common Factor of 9390,5127 By Matching Biggest Common Factor Method

Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390

Factors of 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1,3,1709,5127

Greatest Common Factor

We found the factors 9390,5127 . The biggest common factor number is the GCF number.
So the greatest common factor 9390,5127 is 3.

Lets's calculate LCM of 613,6289

Given numbers has no common factors except 1. So, there LCM is their product i.e 3855157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3855157

Therefore, the GCF of Fractions 9390/613,5127/6289 is 3/3855157

Least Common Multiple of 613,6289 with GCF Formula

Least Common Multiple of 613,6289 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 613,6289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,6289) = 1

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

GCF(613,6289) x common factors =1 x 1 = 1

LCM(613,6289) = ( 613 × 6289 ) / 1

LCM(613,6289) = 3855157 / 1

LCM(613,6289) = 3855157


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 9390/613, 5127/6289

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 9390/613, 5127/6289?

Answer: GCF of Numerators as per given numbers 9390/613, 5127/6289 is

GCF of Numerators i.e. for 9390,5127 is 3

LCM of denominators i.e. for 613,6289 is 3855157.

Thus, GCF of Fractions is 3/3855157.Finally, GCF of Fractions for 9390/613, 5127/6289 is 3/3855157.