Greatest Common Factor of 361/729, 4714/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/729, 4714/809

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 361/729,4714/809

Given fractions are 361/729,4714/809

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 361,4714

Greatest Common Factor of Numerators i.e. GCF of 361,4714 is 1 .

LCM of Denominators means LCM of 729,809 as per the given fractions.

LCM of 729,809 is 589761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,4714

GCF of Fractions 361/729,4714/809 is 1/589761

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

Greatest Common Factor of 361,4714 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,4714 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 4714

List of positive integer factors of 4714 that divides 4714 without a remainder.

1,2,2357,4714

Greatest Common Factor

We found the factors 361,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 361,4714 is 1.

Lets's calculate LCM of 729,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 589761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589761

Therefore, the GCF of Fractions 361/729,4714/809 is 1/589761

Least Common Multiple of 729,809 with GCF Formula

Least Common Multiple of 729,809 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 729,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,809) = 1

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

GCF(729,809) x common factors =1 x 1 = 1

LCM(729,809) = ( 729 × 809 ) / 1

LCM(729,809) = 589761 / 1

LCM(729,809) = 589761


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 361/729, 4714/809

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 361/729, 4714/809?

Answer: GCF of Numerators as per given numbers 361/729, 4714/809 is

GCF of Numerators i.e. for 361,4714 is 1

LCM of denominators i.e. for 729,809 is 589761.

Thus, GCF of Fractions is 1/589761.Finally, GCF of Fractions for 361/729, 4714/809 is 1/589761.