Greatest Common Factor of 409/246, 855/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 409/246, 855/629

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 409/246,855/629

Given fractions are 409/246,855/629

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 409,855

Greatest Common Factor of Numerators i.e. GCF of 409,855 is 1 .

LCM of Denominators means LCM of 246,629 as per the given fractions.

LCM of 246,629 is 154734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,855

GCF of Fractions 409/246,855/629 is 1/154734

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

Greatest Common Factor of 409,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,855 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 409,855 . The biggest common factor number is the GCF number.
So the greatest common factor 409,855 is 1.


Lets's calculate LCM of 246,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 154734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154734

Therefore, the GCF of Fractions 409/246,855/629 is 1/154734

Least Common Multiple of 246,629 with GCF Formula

Least Common Multiple of 246,629 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 246,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,629) = 1

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

GCF(246,629) x common factors =1 x 1 = 1

LCM(246,629) = ( 246 × 629 ) / 1

LCM(246,629) = 154734 / 1

LCM(246,629) = 154734


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 409/246, 855/629

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 409/246, 855/629?

Answer: GCF of Numerators as per given numbers 409/246, 855/629 is

GCF of Numerators i.e. for 409,855 is 1

LCM of denominators i.e. for 246,629 is 154734.

Thus, GCF of Fractions is 1/154734.Finally, GCF of Fractions for 409/246, 855/629 is 1/154734.