Greatest Common Factor of 2558/39, 2012/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2558/39, 2012/855

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 2558/39,2012/855

Given fractions are 2558/39,2012/855

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 2558,2012

Greatest Common Factor of Numerators i.e. GCF of 2558,2012 is 2 .

LCM of Denominators means LCM of 39,855 as per the given fractions.

LCM of 39,855 is 11115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2558,2012

GCF of Fractions 2558/39,2012/855 is 2/11115

2 2558, 2012
1279, 1006

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2558,2012 By Matching Biggest Common Factor Method

Greatest Common Factor of 2558,2012 By Matching Biggest Common Factor Method

Factors of 2558

List of positive integer factors of 2558 that divides 2558 without a remainder.

1,2,1279,2558

Factors of 2012

List of positive integer factors of 2012 that divides 2012 without a remainder.

1,2,4,503,1006,2012

Greatest Common Factor

We found the factors 2558,2012 . The biggest common factor number is the GCF number.
So the greatest common factor 2558,2012 is 2.

Lets's calculate LCM of 39,855

3 39, 855
13, 285

∴ So the LCM of the given numbers is 3 x 13 x 285 = 11115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11115

Therefore, the GCF of Fractions 2558/39,2012/855 is 2/11115

Least Common Multiple of 39,855 with GCF Formula

Least Common Multiple of 39,855 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 39,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,855) = 3

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

GCF(39,855) x common factors =3 x 1 = 3

LCM(39,855) = ( 39 × 855 ) / 3

LCM(39,855) = 33345 / 3

LCM(39,855) = 11115


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 2558/39, 2012/855

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 2558/39, 2012/855?

Answer: GCF of Numerators as per given numbers 2558/39, 2012/855 is

GCF of Numerators i.e. for 2558,2012 is 2

LCM of denominators i.e. for 39,855 is 11115.

Thus, GCF of Fractions is 2/11115.Finally, GCF of Fractions for 2558/39, 2012/855 is 2/11115.