Greatest Common Factor of 437/1728, 394/3809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/1728, 394/3809

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 437/1728,394/3809

Given fractions are 437/1728,394/3809

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 437,394

Greatest Common Factor of Numerators i.e. GCF of 437,394 is 1 .

LCM of Denominators means LCM of 1728,3809 as per the given fractions.

LCM of 1728,3809 is 6581952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,394

GCF of Fractions 437/1728,394/3809 is 1/6581952

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

Greatest Common Factor of 437,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,394 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 437,394 . The biggest common factor number is the GCF number.
So the greatest common factor 437,394 is 1.

Lets's calculate LCM of 1728,3809

Given numbers has no common factors except 1. So, there LCM is their product i.e 6581952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6581952

Therefore, the GCF of Fractions 437/1728,394/3809 is 1/6581952

Least Common Multiple of 1728,3809 with GCF Formula

Least Common Multiple of 1728,3809 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 1728,3809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1728,3809) = 1

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

GCF(1728,3809) x common factors =1 x 1 = 1

LCM(1728,3809) = ( 1728 × 3809 ) / 1

LCM(1728,3809) = 6581952 / 1

LCM(1728,3809) = 6581952


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 437/1728, 394/3809

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 437/1728, 394/3809?

Answer: GCF of Numerators as per given numbers 437/1728, 394/3809 is

GCF of Numerators i.e. for 437,394 is 1

LCM of denominators i.e. for 1728,3809 is 6581952.

Thus, GCF of Fractions is 1/6581952.Finally, GCF of Fractions for 437/1728, 394/3809 is 1/6581952.