Greatest Common Factor of 38/127, 3938/1793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/127, 3938/1793

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 38/127,3938/1793

Given fractions are 38/127,3938/1793

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 38,3938

Greatest Common Factor of Numerators i.e. GCF of 38,3938 is 2 .

LCM of Denominators means LCM of 127,1793 as per the given fractions.

LCM of 127,1793 is 227711 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,3938

GCF of Fractions 38/127,3938/1793 is 2/227711

2 38, 3938
19, 1969

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

Greatest Common Factor of 38,3938 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,3938 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 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1,2,11,22,179,358,1969,3938

Greatest Common Factor

We found the factors 38,3938 . The biggest common factor number is the GCF number.
So the greatest common factor 38,3938 is 2.

Lets's calculate LCM of 127,1793

Given numbers has no common factors except 1. So, there LCM is their product i.e 227711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227711

Therefore, the GCF of Fractions 38/127,3938/1793 is 2/227711

Least Common Multiple of 127,1793 with GCF Formula

Least Common Multiple of 127,1793 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 127,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,1793) = 1

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

GCF(127,1793) x common factors =1 x 1 = 1

LCM(127,1793) = ( 127 × 1793 ) / 1

LCM(127,1793) = 227711 / 1

LCM(127,1793) = 227711


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 38/127, 3938/1793

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 38/127, 3938/1793?

Answer: GCF of Numerators as per given numbers 38/127, 3938/1793 is

GCF of Numerators i.e. for 38,3938 is 2

LCM of denominators i.e. for 127,1793 is 227711.

Thus, GCF of Fractions is 2/227711.Finally, GCF of Fractions for 38/127, 3938/1793 is 2/227711.