Greatest Common Factor of 32/13, 33/56, 216/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/13, 33/56, 216/192

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 32/13,33/56,216/192

Given fractions are 32/13,33/56,216/192

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 32,33,216

Greatest Common Factor of Numerators i.e. GCF of 32,33,216 is 1 .

LCM of Denominators means LCM of 13,56,192 as per the given fractions.

LCM of 13,56,192 is 17472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,33,216

GCF of Fractions 32/13,33/56,216/192 is 1/17472

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

Greatest Common Factor of 32,33,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,33,216 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 32,33,216 . The biggest common factor number is the GCF number.
So the greatest common factor 32,33,216 is 1.

Lets's calculate LCM of 13,56,192

2 13, 56, 192
2 13, 28, 96
2 13, 14, 48
13, 7, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 24 = 17472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17472

Therefore, the GCF of Fractions 32/13,33/56,216/192 is 1/17472

Least Common Multiple of 13,56,192 with GCF Formula

Least Common Multiple of 13,56,192 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 13,56,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,56,192) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(13,56,192) x common factors =1 x 8 = 8

LCM(13,56,192) = ( 13 × 56 × 192 ) / 8

LCM(13,56,192) = 139776 / 8

LCM(13,56,192) = 17472


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 32/13, 33/56, 216/192

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 32/13, 33/56, 216/192?

Answer: GCF of Numerators as per given numbers 32/13, 33/56, 216/192 is

GCF of Numerators i.e. for 32,33,216 is 1

LCM of denominators i.e. for 13,56,192 is 17472.

Thus, GCF of Fractions is 1/17472.Finally, GCF of Fractions for 32/13, 33/56, 216/192 is 1/17472.