Greatest Common Factor of 1833/463, 1071/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1833/463, 1071/188

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 1833/463,1071/188

Given fractions are 1833/463,1071/188

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 1833,1071

Greatest Common Factor of Numerators i.e. GCF of 1833,1071 is 3 .

LCM of Denominators means LCM of 463,188 as per the given fractions.

LCM of 463,188 is 87044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1833,1071

GCF of Fractions 1833/463,1071/188 is 3/87044

3 1833, 1071
611, 357

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

Greatest Common Factor of 1833,1071 By Matching Biggest Common Factor Method

Greatest Common Factor of 1833,1071 By Matching Biggest Common Factor Method

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1,3,13,39,47,141,611,1833

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1,3,7,9,17,21,51,63,119,153,357,1071

Greatest Common Factor

We found the factors 1833,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 1833,1071 is 3.

Lets's calculate LCM of 463,188

Given numbers has no common factors except 1. So, there LCM is their product i.e 87044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87044

Therefore, the GCF of Fractions 1833/463,1071/188 is 3/87044

Least Common Multiple of 463,188 with GCF Formula

Least Common Multiple of 463,188 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 463,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,188) = 1

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

GCF(463,188) x common factors =1 x 1 = 1

LCM(463,188) = ( 463 × 188 ) / 1

LCM(463,188) = 87044 / 1

LCM(463,188) = 87044


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 1833/463, 1071/188

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 1833/463, 1071/188?

Answer: GCF of Numerators as per given numbers 1833/463, 1071/188 is

GCF of Numerators i.e. for 1833,1071 is 3

LCM of denominators i.e. for 463,188 is 87044.

Thus, GCF of Fractions is 3/87044.Finally, GCF of Fractions for 1833/463, 1071/188 is 3/87044.