Greatest Common Factor of 612/33, 896/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/33, 896/327

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 612/33,896/327

Given fractions are 612/33,896/327

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 612,896

Greatest Common Factor of Numerators i.e. GCF of 612,896 is 4 .

LCM of Denominators means LCM of 33,327 as per the given fractions.

LCM of 33,327 is 3597 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,896

GCF of Fractions 612/33,896/327 is 4/3597

2 612, 896
2 306, 448
153, 224

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 612,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,896 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 612,896 . The biggest common factor number is the GCF number.
So the greatest common factor 612,896 is 4.

Lets's calculate LCM of 33,327

3 33, 327
11, 109

∴ So the LCM of the given numbers is 3 x 11 x 109 = 3597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3597

Therefore, the GCF of Fractions 612/33,896/327 is 4/3597

Least Common Multiple of 33,327 with GCF Formula

Least Common Multiple of 33,327 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 33,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,327) = 3

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

GCF(33,327) x common factors =3 x 1 = 3

LCM(33,327) = ( 33 × 327 ) / 3

LCM(33,327) = 10791 / 3

LCM(33,327) = 3597


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 612/33, 896/327

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 612/33, 896/327?

Answer: GCF of Numerators as per given numbers 612/33, 896/327 is

GCF of Numerators i.e. for 612,896 is 4

LCM of denominators i.e. for 33,327 is 3597.

Thus, GCF of Fractions is 4/3597.Finally, GCF of Fractions for 612/33, 896/327 is 4/3597.