Greatest Common Factor of 24/183, 519/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/183, 519/941

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 24/183,519/941

Given fractions are 24/183,519/941

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 24,519

Greatest Common Factor of Numerators i.e. GCF of 24,519 is 3 .

LCM of Denominators means LCM of 183,941 as per the given fractions.

LCM of 183,941 is 172203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,519

GCF of Fractions 24/183,519/941 is 3/172203

3 24, 519
8, 173

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

Greatest Common Factor of 24,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,519 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 24,519 . The biggest common factor number is the GCF number.
So the greatest common factor 24,519 is 3.

Lets's calculate LCM of 183,941

Given numbers has no common factors except 1. So, there LCM is their product i.e 172203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172203

Therefore, the GCF of Fractions 24/183,519/941 is 3/172203

Least Common Multiple of 183,941 with GCF Formula

Least Common Multiple of 183,941 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 183,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,941) = 1

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

GCF(183,941) x common factors =1 x 1 = 1

LCM(183,941) = ( 183 × 941 ) / 1

LCM(183,941) = 172203 / 1

LCM(183,941) = 172203


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 24/183, 519/941

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 24/183, 519/941?

Answer: GCF of Numerators as per given numbers 24/183, 519/941 is

GCF of Numerators i.e. for 24,519 is 3

LCM of denominators i.e. for 183,941 is 172203.

Thus, GCF of Fractions is 3/172203.Finally, GCF of Fractions for 24/183, 519/941 is 3/172203.