Greatest Common Factor of 3846/82, 4683/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3846/82, 4683/308

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 3846/82,4683/308

Given fractions are 3846/82,4683/308

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 3846,4683

Greatest Common Factor of Numerators i.e. GCF of 3846,4683 is 3 .

LCM of Denominators means LCM of 82,308 as per the given fractions.

LCM of 82,308 is 12628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3846,4683

GCF of Fractions 3846/82,4683/308 is 3/12628

3 3846, 4683
1282, 1561

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

Greatest Common Factor of 3846,4683 By Matching Biggest Common Factor Method

Greatest Common Factor of 3846,4683 By Matching Biggest Common Factor Method

Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1,2,3,6,641,1282,1923,3846

Factors of 4683

List of positive integer factors of 4683 that divides 4683 without a remainder.

1,3,7,21,223,669,1561,4683

Greatest Common Factor

We found the factors 3846,4683 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,4683 is 3.

Lets's calculate LCM of 82,308

2 82, 308
41, 154

∴ So the LCM of the given numbers is 2 x 41 x 154 = 12628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12628

Therefore, the GCF of Fractions 3846/82,4683/308 is 3/12628

Least Common Multiple of 82,308 with GCF Formula

Least Common Multiple of 82,308 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 82,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,308) = 2

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

GCF(82,308) x common factors =2 x 1 = 2

LCM(82,308) = ( 82 × 308 ) / 2

LCM(82,308) = 25256 / 2

LCM(82,308) = 12628


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 3846/82, 4683/308

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 3846/82, 4683/308?

Answer: GCF of Numerators as per given numbers 3846/82, 4683/308 is

GCF of Numerators i.e. for 3846,4683 is 3

LCM of denominators i.e. for 82,308 is 12628.

Thus, GCF of Fractions is 3/12628.Finally, GCF of Fractions for 3846/82, 4683/308 is 3/12628.