Greatest Common Factor of 405/29, 511/13, 668/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/29, 511/13, 668/886

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 405/29,511/13,668/886

Given fractions are 405/29,511/13,668/886

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 405,511,668

Greatest Common Factor of Numerators i.e. GCF of 405,511,668 is 1 .

LCM of Denominators means LCM of 29,13,886 as per the given fractions.

LCM of 29,13,886 is 334022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,511,668

GCF of Fractions 405/29,511/13,668/886 is 1/334022

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

Greatest Common Factor of 405,511,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,511,668 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 405,511,668 . The biggest common factor number is the GCF number.
So the greatest common factor 405,511,668 is 1.

Lets's calculate LCM of 29,13,886

Given numbers has no common factors except 1. So, there LCM is their product i.e 334022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334022

Therefore, the GCF of Fractions 405/29,511/13,668/886 is 1/334022

Least Common Multiple of 29,13,886 with GCF Formula

Least Common Multiple of 29,13,886 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 29,13,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,13,886) = 1

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

GCF(29,13,886) x common factors =1 x 1 = 1

LCM(29,13,886) = ( 29 × 13 × 886 ) / 1

LCM(29,13,886) = 334022 / 1

LCM(29,13,886) = 334022


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 405/29, 511/13, 668/886

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 405/29, 511/13, 668/886?

Answer: GCF of Numerators as per given numbers 405/29, 511/13, 668/886 is

GCF of Numerators i.e. for 405,511,668 is 1

LCM of denominators i.e. for 29,13,886 is 334022.

Thus, GCF of Fractions is 1/334022.Finally, GCF of Fractions for 405/29, 511/13, 668/886 is 1/334022.