Greatest Common Factor of 38/59, 198/15, 340/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/59, 198/15, 340/409

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 38/59,198/15,340/409

Given fractions are 38/59,198/15,340/409

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 38,198,340

Greatest Common Factor of Numerators i.e. GCF of 38,198,340 is 2 .

LCM of Denominators means LCM of 59,15,409 as per the given fractions.

LCM of 59,15,409 is 361965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,198,340

GCF of Fractions 38/59,198/15,340/409 is 2/361965

2 38, 198, 340
19, 99, 170

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

Greatest Common Factor of 38,198,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,198,340 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 38,198,340 . The biggest common factor number is the GCF number.
So the greatest common factor 38,198,340 is 2.

Lets's calculate LCM of 59,15,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 361965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/361965

Therefore, the GCF of Fractions 38/59,198/15,340/409 is 2/361965

Least Common Multiple of 59,15,409 with GCF Formula

Least Common Multiple of 59,15,409 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 59,15,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,15,409) = 1

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

GCF(59,15,409) x common factors =1 x 1 = 1

LCM(59,15,409) = ( 59 × 15 × 409 ) / 1

LCM(59,15,409) = 361965 / 1

LCM(59,15,409) = 361965


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 38/59, 198/15, 340/409

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 38/59, 198/15, 340/409?

Answer: GCF of Numerators as per given numbers 38/59, 198/15, 340/409 is

GCF of Numerators i.e. for 38,198,340 is 2

LCM of denominators i.e. for 59,15,409 is 361965.

Thus, GCF of Fractions is 2/361965.Finally, GCF of Fractions for 38/59, 198/15, 340/409 is 2/361965.