Greatest Common Factor of 34/33, 768/27, 168/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/33, 768/27, 168/213

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 34/33,768/27,168/213

Given fractions are 34/33,768/27,168/213

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 34,768,168

Greatest Common Factor of Numerators i.e. GCF of 34,768,168 is 2 .

LCM of Denominators means LCM of 33,27,213 as per the given fractions.

LCM of 33,27,213 is 21087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,768,168

GCF of Fractions 34/33,768/27,168/213 is 2/21087

2 34, 768, 168
17, 384, 84

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

Greatest Common Factor of 34,768,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,768,168 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 34,768,168 . The biggest common factor number is the GCF number.
So the greatest common factor 34,768,168 is 2.

Lets's calculate LCM of 33,27,213

3 33, 27, 213
11, 9, 71

∴ So the LCM of the given numbers is 3 x 11 x 9 x 71 = 21087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21087

Therefore, the GCF of Fractions 34/33,768/27,168/213 is 2/21087

Least Common Multiple of 33,27,213 with GCF Formula

Least Common Multiple of 33,27,213 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 33,27,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,27,213) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,27,213) x common factors =3 x 3 = 9

LCM(33,27,213) = ( 33 × 27 × 213 ) / 9

LCM(33,27,213) = 189783 / 9

LCM(33,27,213) = 21087


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 34/33, 768/27, 168/213

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 34/33, 768/27, 168/213?

Answer: GCF of Numerators as per given numbers 34/33, 768/27, 168/213 is

GCF of Numerators i.e. for 34,768,168 is 2

LCM of denominators i.e. for 33,27,213 is 21087.

Thus, GCF of Fractions is 2/21087.Finally, GCF of Fractions for 34/33, 768/27, 168/213 is 2/21087.