Greatest Common Factor of 2856/33, 8426/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2856/33, 8426/855

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 2856/33,8426/855

Given fractions are 2856/33,8426/855

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 2856,8426

Greatest Common Factor of Numerators i.e. GCF of 2856,8426 is 2 .

LCM of Denominators means LCM of 33,855 as per the given fractions.

LCM of 33,855 is 9405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2856,8426

GCF of Fractions 2856/33,8426/855 is 2/9405

2 2856, 8426
1428, 4213

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

Greatest Common Factor of 2856,8426 By Matching Biggest Common Factor Method

Greatest Common Factor of 2856,8426 By Matching Biggest Common Factor Method

Factors of 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

Greatest Common Factor

We found the factors 2856,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,8426 is 2.

Lets's calculate LCM of 33,855

3 33, 855
11, 285

∴ So the LCM of the given numbers is 3 x 11 x 285 = 9405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9405

Therefore, the GCF of Fractions 2856/33,8426/855 is 2/9405

Least Common Multiple of 33,855 with GCF Formula

Least Common Multiple of 33,855 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 33,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,855) = 3

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

GCF(33,855) x common factors =3 x 1 = 3

LCM(33,855) = ( 33 × 855 ) / 3

LCM(33,855) = 28215 / 3

LCM(33,855) = 9405


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 2856/33, 8426/855

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 2856/33, 8426/855?

Answer: GCF of Numerators as per given numbers 2856/33, 8426/855 is

GCF of Numerators i.e. for 2856,8426 is 2

LCM of denominators i.e. for 33,855 is 9405.

Thus, GCF of Fractions is 2/9405.Finally, GCF of Fractions for 2856/33, 8426/855 is 2/9405.