Greatest Common Factor of 660/381, 384/406, 629/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/381, 384/406, 629/109

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 660/381,384/406,629/109

Given fractions are 660/381,384/406,629/109

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 660,384,629

Greatest Common Factor of Numerators i.e. GCF of 660,384,629 is 1 .

LCM of Denominators means LCM of 381,406,109 as per the given fractions.

LCM of 381,406,109 is 16860774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,384,629

GCF of Fractions 660/381,384/406,629/109 is 1/16860774

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

Greatest Common Factor of 660,384,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,384,629 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 660,384,629 . The biggest common factor number is the GCF number.
So the greatest common factor 660,384,629 is 1.

Lets's calculate LCM of 381,406,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 16860774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16860774

Therefore, the GCF of Fractions 660/381,384/406,629/109 is 1/16860774

Least Common Multiple of 381,406,109 with GCF Formula

Least Common Multiple of 381,406,109 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 381,406,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,406,109) = 1

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

GCF(381,406,109) x common factors =1 x 1 = 1

LCM(381,406,109) = ( 381 × 406 × 109 ) / 1

LCM(381,406,109) = 16860774 / 1

LCM(381,406,109) = 16860774


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 660/381, 384/406, 629/109

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 660/381, 384/406, 629/109?

Answer: GCF of Numerators as per given numbers 660/381, 384/406, 629/109 is

GCF of Numerators i.e. for 660,384,629 is 1

LCM of denominators i.e. for 381,406,109 is 16860774.

Thus, GCF of Fractions is 1/16860774.Finally, GCF of Fractions for 660/381, 384/406, 629/109 is 1/16860774.