Greatest Common Factor of 2024/605, 4240/1983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2024/605, 4240/1983

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 2024/605,4240/1983

Given fractions are 2024/605,4240/1983

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 2024,4240

Greatest Common Factor of Numerators i.e. GCF of 2024,4240 is 8 .

LCM of Denominators means LCM of 605,1983 as per the given fractions.

LCM of 605,1983 is 1199715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2024,4240

GCF of Fractions 2024/605,4240/1983 is 8/1199715

2 2024, 4240
2 1012, 2120
2 506, 1060
253, 530

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2024,4240 By Matching Biggest Common Factor Method

Greatest Common Factor of 2024,4240 By Matching Biggest Common Factor Method

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Greatest Common Factor

We found the factors 2024,4240 . The biggest common factor number is the GCF number.
So the greatest common factor 2024,4240 is 8.

Lets's calculate LCM of 605,1983

Given numbers has no common factors except 1. So, there LCM is their product i.e 1199715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1199715

Therefore, the GCF of Fractions 2024/605,4240/1983 is 8/1199715

Least Common Multiple of 605,1983 with GCF Formula

Least Common Multiple of 605,1983 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 605,1983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,1983) = 1

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

GCF(605,1983) x common factors =1 x 1 = 1

LCM(605,1983) = ( 605 × 1983 ) / 1

LCM(605,1983) = 1199715 / 1

LCM(605,1983) = 1199715


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 2024/605, 4240/1983

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 2024/605, 4240/1983?

Answer: GCF of Numerators as per given numbers 2024/605, 4240/1983 is

GCF of Numerators i.e. for 2024,4240 is 8

LCM of denominators i.e. for 605,1983 is 1199715.

Thus, GCF of Fractions is 8/1199715.Finally, GCF of Fractions for 2024/605, 4240/1983 is 8/1199715.