Greatest Common Factor of 38/59, 28/29, 386/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/59, 28/29, 386/806

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 38/59,28/29,386/806

Given fractions are 38/59,28/29,386/806

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 38,28,386

Greatest Common Factor of Numerators i.e. GCF of 38,28,386 is 2 .

LCM of Denominators means LCM of 59,29,806 as per the given fractions.

LCM of 59,29,806 is 1379066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,28,386

GCF of Fractions 38/59,28/29,386/806 is 2/1379066

2 38, 28, 386
19, 14, 193

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

Greatest Common Factor of 38,28,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,28,386 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 38,28,386 . The biggest common factor number is the GCF number.
So the greatest common factor 38,28,386 is 2.

Lets's calculate LCM of 59,29,806

Given numbers has no common factors except 1. So, there LCM is their product i.e 1379066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1379066

Therefore, the GCF of Fractions 38/59,28/29,386/806 is 2/1379066

Least Common Multiple of 59,29,806 with GCF Formula

Least Common Multiple of 59,29,806 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 59,29,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,29,806) = 1

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

GCF(59,29,806) x common factors =1 x 1 = 1

LCM(59,29,806) = ( 59 × 29 × 806 ) / 1

LCM(59,29,806) = 1379066 / 1

LCM(59,29,806) = 1379066


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, 28/29, 386/806

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, 28/29, 386/806?

Answer: GCF of Numerators as per given numbers 38/59, 28/29, 386/806 is

GCF of Numerators i.e. for 38,28,386 is 2

LCM of denominators i.e. for 59,29,806 is 1379066.

Thus, GCF of Fractions is 2/1379066.Finally, GCF of Fractions for 38/59, 28/29, 386/806 is 2/1379066.