Greatest Common Factor of 346/38, 3824/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 346/38, 3824/442

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 346/38,3824/442

Given fractions are 346/38,3824/442

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 346,3824

Greatest Common Factor of Numerators i.e. GCF of 346,3824 is 2 .

LCM of Denominators means LCM of 38,442 as per the given fractions.

LCM of 38,442 is 8398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 346,3824

GCF of Fractions 346/38,3824/442 is 2/8398

2 346, 3824
173, 1912

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

Greatest Common Factor of 346,3824 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,3824 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1,2,4,8,16,239,478,956,1912,3824

Greatest Common Factor

We found the factors 346,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 346,3824 is 2.

Lets's calculate LCM of 38,442

2 38, 442
19, 221

∴ So the LCM of the given numbers is 2 x 19 x 221 = 8398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8398

Therefore, the GCF of Fractions 346/38,3824/442 is 2/8398

Least Common Multiple of 38,442 with GCF Formula

Least Common Multiple of 38,442 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 38,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,442) = 2

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

GCF(38,442) x common factors =2 x 1 = 2

LCM(38,442) = ( 38 × 442 ) / 2

LCM(38,442) = 16796 / 2

LCM(38,442) = 8398


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 346/38, 3824/442

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 346/38, 3824/442?

Answer: GCF of Numerators as per given numbers 346/38, 3824/442 is

GCF of Numerators i.e. for 346,3824 is 2

LCM of denominators i.e. for 38,442 is 8398.

Thus, GCF of Fractions is 2/8398.Finally, GCF of Fractions for 346/38, 3824/442 is 2/8398.