Greatest Common Factor of 3830/183, 2144/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3830/183, 2144/453

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 3830/183,2144/453

Given fractions are 3830/183,2144/453

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 3830,2144

Greatest Common Factor of Numerators i.e. GCF of 3830,2144 is 2 .

LCM of Denominators means LCM of 183,453 as per the given fractions.

LCM of 183,453 is 27633 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3830,2144

GCF of Fractions 3830/183,2144/453 is 2/27633

2 3830, 2144
1915, 1072

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

Greatest Common Factor of 3830,2144 By Matching Biggest Common Factor Method

Greatest Common Factor of 3830,2144 By Matching Biggest Common Factor Method

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors 3830,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 3830,2144 is 2.

Lets's calculate LCM of 183,453

3 183, 453
61, 151

∴ So the LCM of the given numbers is 3 x 61 x 151 = 27633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27633

Therefore, the GCF of Fractions 3830/183,2144/453 is 2/27633

Least Common Multiple of 183,453 with GCF Formula

Least Common Multiple of 183,453 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 183,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,453) = 3

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

GCF(183,453) x common factors =3 x 1 = 3

LCM(183,453) = ( 183 × 453 ) / 3

LCM(183,453) = 82899 / 3

LCM(183,453) = 27633


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 3830/183, 2144/453

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 3830/183, 2144/453?

Answer: GCF of Numerators as per given numbers 3830/183, 2144/453 is

GCF of Numerators i.e. for 3830,2144 is 2

LCM of denominators i.e. for 183,453 is 27633.

Thus, GCF of Fractions is 2/27633.Finally, GCF of Fractions for 3830/183, 2144/453 is 2/27633.