Greatest Common Factor of 183/224, 3711/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/224, 3711/306

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 183/224,3711/306

Given fractions are 183/224,3711/306

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 183,3711

Greatest Common Factor of Numerators i.e. GCF of 183,3711 is 3 .

LCM of Denominators means LCM of 224,306 as per the given fractions.

LCM of 224,306 is 34272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,3711

GCF of Fractions 183/224,3711/306 is 3/34272

3 183, 3711
61, 1237

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

Greatest Common Factor of 183,3711 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,3711 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 3711

List of positive integer factors of 3711 that divides 3711 without a remainder.

1,3,1237,3711

Greatest Common Factor

We found the factors 183,3711 . The biggest common factor number is the GCF number.
So the greatest common factor 183,3711 is 3.

Lets's calculate LCM of 224,306

2 224, 306
112, 153

∴ So the LCM of the given numbers is 2 x 112 x 153 = 34272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34272

Therefore, the GCF of Fractions 183/224,3711/306 is 3/34272

Least Common Multiple of 224,306 with GCF Formula

Least Common Multiple of 224,306 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 224,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,306) = 2

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

GCF(224,306) x common factors =2 x 1 = 2

LCM(224,306) = ( 224 × 306 ) / 2

LCM(224,306) = 68544 / 2

LCM(224,306) = 34272


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 183/224, 3711/306

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 183/224, 3711/306?

Answer: GCF of Numerators as per given numbers 183/224, 3711/306 is

GCF of Numerators i.e. for 183,3711 is 3

LCM of denominators i.e. for 224,306 is 34272.

Thus, GCF of Fractions is 3/34272.Finally, GCF of Fractions for 183/224, 3711/306 is 3/34272.