Greatest Common Factor of 38/365, 5643/1309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/365, 5643/1309

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 38/365,5643/1309

Given fractions are 38/365,5643/1309

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 38,5643

Greatest Common Factor of Numerators i.e. GCF of 38,5643 is 19 .

LCM of Denominators means LCM of 365,1309 as per the given fractions.

LCM of 365,1309 is 477785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,5643

GCF of Fractions 38/365,5643/1309 is 19/477785

19 38, 5643
2, 297

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 38,5643 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5643 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 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643

Greatest Common Factor

We found the factors 38,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5643 is 19.

Lets's calculate LCM of 365,1309

Given numbers has no common factors except 1. So, there LCM is their product i.e 477785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/477785

Therefore, the GCF of Fractions 38/365,5643/1309 is 19/477785

Least Common Multiple of 365,1309 with GCF Formula

Least Common Multiple of 365,1309 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 365,1309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,1309) = 1

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

GCF(365,1309) x common factors =1 x 1 = 1

LCM(365,1309) = ( 365 × 1309 ) / 1

LCM(365,1309) = 477785 / 1

LCM(365,1309) = 477785


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 38/365, 5643/1309

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 38/365, 5643/1309?

Answer: GCF of Numerators as per given numbers 38/365, 5643/1309 is

GCF of Numerators i.e. for 38,5643 is 19

LCM of denominators i.e. for 365,1309 is 477785.

Thus, GCF of Fractions is 19/477785.Finally, GCF of Fractions for 38/365, 5643/1309 is 19/477785.