Greatest Common Factor of 809/38, 144/97, 427/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 809/38, 144/97, 427/39

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 809/38,144/97,427/39

Given fractions are 809/38,144/97,427/39

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 809,144,427

Greatest Common Factor of Numerators i.e. GCF of 809,144,427 is 1 .

LCM of Denominators means LCM of 38,97,39 as per the given fractions.

LCM of 38,97,39 is 143754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 809,144,427

GCF of Fractions 809/38,144/97,427/39 is 1/143754

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

Greatest Common Factor of 809,144,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,144,427 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 809,144,427 . The biggest common factor number is the GCF number.
So the greatest common factor 809,144,427 is 1.

Lets's calculate LCM of 38,97,39

Given numbers has no common factors except 1. So, there LCM is their product i.e 143754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143754

Therefore, the GCF of Fractions 809/38,144/97,427/39 is 1/143754

Least Common Multiple of 38,97,39 with GCF Formula

Least Common Multiple of 38,97,39 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 38,97,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,97,39) = 1

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

GCF(38,97,39) x common factors =1 x 1 = 1

LCM(38,97,39) = ( 38 × 97 × 39 ) / 1

LCM(38,97,39) = 143754 / 1

LCM(38,97,39) = 143754


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 809/38, 144/97, 427/39

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 809/38, 144/97, 427/39?

Answer: GCF of Numerators as per given numbers 809/38, 144/97, 427/39 is

GCF of Numerators i.e. for 809,144,427 is 1

LCM of denominators i.e. for 38,97,39 is 143754.

Thus, GCF of Fractions is 1/143754.Finally, GCF of Fractions for 809/38, 144/97, 427/39 is 1/143754.