Greatest Common Factor of 38/19, 56/23, 75/82, 838/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/19, 56/23, 75/82, 838/75

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 38/19,56/23,75/82,838/75

Given fractions are 38/19,56/23,75/82,838/75

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 38,56,75,838

Greatest Common Factor of Numerators i.e. GCF of 38,56,75,838 is 1 .

LCM of Denominators means LCM of 19,23,82,75 as per the given fractions.

LCM of 19,23,82,75 is 2687550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,56,75,838

GCF of Fractions 38/19,56/23,75/82,838/75 is 1/2687550

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 38,56,75,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,56,75,838 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 38,56,75,838 . The biggest common factor number is the GCF number.
So the greatest common factor 38,56,75,838 is 1.

Lets's calculate LCM of 19,23,82,75

Given numbers has no common factors except 1. So, there LCM is their product i.e 2687550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2687550

Therefore, the GCF of Fractions 38/19,56/23,75/82,838/75 is 1/2687550

Least Common Multiple of 19,23,82,75 with GCF Formula

Least Common Multiple of 19,23,82,75 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 19,23,82,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,23,82,75) = 1

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

GCF(19,23,82,75) x common factors =1 x 1 = 1

LCM(19,23,82,75) = ( 19 × 23 × 82 × 75 ) / 1

LCM(19,23,82,75) = 2687550 / 1

LCM(19,23,82,75) = 2687550


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 38/19, 56/23, 75/82, 838/75

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 38/19, 56/23, 75/82, 838/75?

Answer: GCF of Numerators as per given numbers 38/19, 56/23, 75/82, 838/75 is

GCF of Numerators i.e. for 38,56,75,838 is 1

LCM of denominators i.e. for 19,23,82,75 is 2687550.

Thus, GCF of Fractions is 1/2687550.Finally, GCF of Fractions for 38/19, 56/23, 75/82, 838/75 is 1/2687550.