Greatest Common Factor of 6096/620, 4144/2481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6096/620, 4144/2481

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 6096/620,4144/2481

Given fractions are 6096/620,4144/2481

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 6096,4144

Greatest Common Factor of Numerators i.e. GCF of 6096,4144 is 16 .

LCM of Denominators means LCM of 620,2481 as per the given fractions.

LCM of 620,2481 is 1538220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6096,4144

GCF of Fractions 6096/620,4144/2481 is 16/1538220

2 6096, 4144
2 3048, 2072
2 1524, 1036
2 762, 518
381, 259

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 6096,4144 By Matching Biggest Common Factor Method

Greatest Common Factor of 6096,4144 By Matching Biggest Common Factor Method

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Greatest Common Factor

We found the factors 6096,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 6096,4144 is 16.

Lets's calculate LCM of 620,2481

Given numbers has no common factors except 1. So, there LCM is their product i.e 1538220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1538220

Therefore, the GCF of Fractions 6096/620,4144/2481 is 16/1538220

Least Common Multiple of 620,2481 with GCF Formula

Least Common Multiple of 620,2481 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 620,2481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,2481) = 1

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

GCF(620,2481) x common factors =1 x 1 = 1

LCM(620,2481) = ( 620 × 2481 ) / 1

LCM(620,2481) = 1538220 / 1

LCM(620,2481) = 1538220


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 6096/620, 4144/2481

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 6096/620, 4144/2481?

Answer: GCF of Numerators as per given numbers 6096/620, 4144/2481 is

GCF of Numerators i.e. for 6096,4144 is 16

LCM of denominators i.e. for 620,2481 is 1538220.

Thus, GCF of Fractions is 16/1538220.Finally, GCF of Fractions for 6096/620, 4144/2481 is 16/1538220.