Greatest Common Factor of 4080/512, 7269/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4080/512, 7269/655

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 4080/512,7269/655

Given fractions are 4080/512,7269/655

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 4080,7269

Greatest Common Factor of Numerators i.e. GCF of 4080,7269 is 3 .

LCM of Denominators means LCM of 512,655 as per the given fractions.

LCM of 512,655 is 335360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4080,7269

GCF of Fractions 4080/512,7269/655 is 3/335360

3 4080, 7269
1360, 2423

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

Greatest Common Factor of 4080,7269 By Matching Biggest Common Factor Method

Greatest Common Factor of 4080,7269 By Matching Biggest Common Factor Method

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1,3,2423,7269

Greatest Common Factor

We found the factors 4080,7269 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,7269 is 3.

Lets's calculate LCM of 512,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 335360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/335360

Therefore, the GCF of Fractions 4080/512,7269/655 is 3/335360

Least Common Multiple of 512,655 with GCF Formula

Least Common Multiple of 512,655 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 512,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,655) = 1

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

GCF(512,655) x common factors =1 x 1 = 1

LCM(512,655) = ( 512 × 655 ) / 1

LCM(512,655) = 335360 / 1

LCM(512,655) = 335360


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 4080/512, 7269/655

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 4080/512, 7269/655?

Answer: GCF of Numerators as per given numbers 4080/512, 7269/655 is

GCF of Numerators i.e. for 4080,7269 is 3

LCM of denominators i.e. for 512,655 is 335360.

Thus, GCF of Fractions is 3/335360.Finally, GCF of Fractions for 4080/512, 7269/655 is 3/335360.