Greatest Common Factor of 338/42, 108/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/42, 108/186

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 338/42,108/186

Given fractions are 338/42,108/186

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 338,108

Greatest Common Factor of Numerators i.e. GCF of 338,108 is 2 .

LCM of Denominators means LCM of 42,186 as per the given fractions.

LCM of 42,186 is 1302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,108

GCF of Fractions 338/42,108/186 is 2/1302

2 338, 108
169, 54

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

Greatest Common Factor of 338,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,108 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 338,108 . The biggest common factor number is the GCF number.
So the greatest common factor 338,108 is 2.

Lets's calculate LCM of 42,186

2 42, 186
3 21, 93
7, 31

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 = 1302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1302

Therefore, the GCF of Fractions 338/42,108/186 is 2/1302

Least Common Multiple of 42,186 with GCF Formula

Least Common Multiple of 42,186 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 42,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,186) = 6

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

GCF(42,186) x common factors =6 x 1 = 6

LCM(42,186) = ( 42 × 186 ) / 6

LCM(42,186) = 7812 / 6

LCM(42,186) = 1302


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 338/42, 108/186

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 338/42, 108/186?

Answer: GCF of Numerators as per given numbers 338/42, 108/186 is

GCF of Numerators i.e. for 338,108 is 2

LCM of denominators i.e. for 42,186 is 1302.

Thus, GCF of Fractions is 2/1302.Finally, GCF of Fractions for 338/42, 108/186 is 2/1302.