Greatest Common Factor of 5440/515, 9390/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5440/515, 9390/772

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 5440/515,9390/772

Given fractions are 5440/515,9390/772

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 5440,9390

Greatest Common Factor of Numerators i.e. GCF of 5440,9390 is 10 .

LCM of Denominators means LCM of 515,772 as per the given fractions.

LCM of 515,772 is 397580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5440,9390

GCF of Fractions 5440/515,9390/772 is 10/397580

2 5440, 9390
5 2720, 4695
544, 939

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5440,9390 By Matching Biggest Common Factor Method

Greatest Common Factor of 5440,9390 By Matching Biggest Common Factor Method

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

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

Greatest Common Factor

We found the factors 5440,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,9390 is 10.

Lets's calculate LCM of 515,772

Given numbers has no common factors except 1. So, there LCM is their product i.e 397580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/397580

Therefore, the GCF of Fractions 5440/515,9390/772 is 10/397580

Least Common Multiple of 515,772 with GCF Formula

Least Common Multiple of 515,772 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 515,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,772) = 1

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

GCF(515,772) x common factors =1 x 1 = 1

LCM(515,772) = ( 515 × 772 ) / 1

LCM(515,772) = 397580 / 1

LCM(515,772) = 397580


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 5440/515, 9390/772

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 5440/515, 9390/772?

Answer: GCF of Numerators as per given numbers 5440/515, 9390/772 is

GCF of Numerators i.e. for 5440,9390 is 10

LCM of denominators i.e. for 515,772 is 397580.

Thus, GCF of Fractions is 10/397580.Finally, GCF of Fractions for 5440/515, 9390/772 is 10/397580.