Greatest Common Factor of 3183/308, 1182/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3183/308, 1182/146

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 3183/308,1182/146

Given fractions are 3183/308,1182/146

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 3183,1182

Greatest Common Factor of Numerators i.e. GCF of 3183,1182 is 3 .

LCM of Denominators means LCM of 308,146 as per the given fractions.

LCM of 308,146 is 22484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3183,1182

GCF of Fractions 3183/308,1182/146 is 3/22484

3 3183, 1182
1061, 394

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

Greatest Common Factor of 3183,1182 By Matching Biggest Common Factor Method

Greatest Common Factor of 3183,1182 By Matching Biggest Common Factor Method

Factors of 3183

List of positive integer factors of 3183 that divides 3183 without a remainder.

1,3,1061,3183

Factors of 1182

List of positive integer factors of 1182 that divides 1182 without a remainder.

1,2,3,6,197,394,591,1182

Greatest Common Factor

We found the factors 3183,1182 . The biggest common factor number is the GCF number.
So the greatest common factor 3183,1182 is 3.

Lets's calculate LCM of 308,146

2 308, 146
154, 73

∴ So the LCM of the given numbers is 2 x 154 x 73 = 22484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22484

Therefore, the GCF of Fractions 3183/308,1182/146 is 3/22484

Least Common Multiple of 308,146 with GCF Formula

Least Common Multiple of 308,146 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 308,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,146) = 2

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

GCF(308,146) x common factors =2 x 1 = 2

LCM(308,146) = ( 308 × 146 ) / 2

LCM(308,146) = 44968 / 2

LCM(308,146) = 22484


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 3183/308, 1182/146

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 3183/308, 1182/146?

Answer: GCF of Numerators as per given numbers 3183/308, 1182/146 is

GCF of Numerators i.e. for 3183,1182 is 3

LCM of denominators i.e. for 308,146 is 22484.

Thus, GCF of Fractions is 3/22484.Finally, GCF of Fractions for 3183/308, 1182/146 is 3/22484.