Greatest Common Factor of 6658/729, 3691/4096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6658/729, 3691/4096

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 6658/729,3691/4096

Given fractions are 6658/729,3691/4096

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 6658,3691

Greatest Common Factor of Numerators i.e. GCF of 6658,3691 is 1 .

LCM of Denominators means LCM of 729,4096 as per the given fractions.

LCM of 729,4096 is 2985984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6658,3691

GCF of Fractions 6658/729,3691/4096 is 1/2985984

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

Greatest Common Factor of 6658,3691 By Matching Biggest Common Factor Method

Greatest Common Factor of 6658,3691 By Matching Biggest Common Factor Method

Factors of 6658

List of positive integer factors of 6658 that divides 6658 without a remainder.

1,2,3329,6658

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1,3691

Greatest Common Factor

We found the factors 6658,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,3691 is 1.

Lets's calculate LCM of 729,4096

Given numbers has no common factors except 1. So, there LCM is their product i.e 2985984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2985984

Therefore, the GCF of Fractions 6658/729,3691/4096 is 1/2985984

Least Common Multiple of 729,4096 with GCF Formula

Least Common Multiple of 729,4096 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 729,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,4096) = 1

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

GCF(729,4096) x common factors =1 x 1 = 1

LCM(729,4096) = ( 729 × 4096 ) / 1

LCM(729,4096) = 2985984 / 1

LCM(729,4096) = 2985984


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 6658/729, 3691/4096

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 6658/729, 3691/4096?

Answer: GCF of Numerators as per given numbers 6658/729, 3691/4096 is

GCF of Numerators i.e. for 6658,3691 is 1

LCM of denominators i.e. for 729,4096 is 2985984.

Thus, GCF of Fractions is 1/2985984.Finally, GCF of Fractions for 6658/729, 3691/4096 is 1/2985984.