Greatest Common Factor of 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8

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 96/2,54/3,14/3,81/4,993/2,33/8,86/4,893/4,65/2,46/8

Given fractions are 96/2,54/3,14/3,81/4,993/2,33/8,86/4,893/4,65/2,46/8

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 96,54,14,81,993,33,86,893,65,46

Greatest Common Factor of Numerators i.e. GCF of 96,54,14,81,993,33,86,893,65,46 is 1 .

LCM of Denominators means LCM of 2,3,3,4,2,8,4,4,2,8 as per the given fractions.

LCM of 2,3,3,4,2,8,4,4,2,8 is 24 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,54,14,81,993,33,86,893,65,46

GCF of Fractions 96/2,54/3,14/3,81/4,993/2,33/8,86/4,893/4,65/2,46/8 is 1/24

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

Greatest Common Factor of 96,54,14,81,993,33,86,893,65,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,54,14,81,993,33,86,893,65,46 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 33

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

1,3,11,33

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 96,54,14,81,993,33,86,893,65,46 . The biggest common factor number is the GCF number.
So the greatest common factor 96,54,14,81,993,33,86,893,65,46 is 1.

Lets's calculate LCM of 2,3,3,4,2,8,4,4,2,8

2 2, 3, 3, 4, 2, 8, 4, 4, 2, 8
2 1, 3, 3, 2, 1, 4, 2, 2, 1, 4
2 1, 3, 3, 1, 1, 1, 1, 2, 1, 2
3 1, 3, 3, 1, 1, 1, 1, 1, 1, 1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 24

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24

Therefore, the GCF of Fractions 96/2,54/3,14/3,81/4,993/2,33/8,86/4,893/4,65/2,46/8 is 1/24

Least Common Multiple of 2,3,3,4,2,8,4,4,2,8 with GCF Formula

Least Common Multiple of 2,3,3,4,2,8,4,4,2,8 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 2,3,3,4,2,8,4,4,2,8 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,3,3,4,2,8,4,4,2,8) = 1

common factors(in case of two or more numbers have common factors) = 12288

GCF(2,3,3,4,2,8,4,4,2,8) x common factors =1 x 12288 = 12288

LCM(2,3,3,4,2,8,4,4,2,8) = ( 2 × 3 × 3 × 4 × 2 × 8 × 4 × 4 × 2 × 8 ) / 12288

LCM(2,3,3,4,2,8,4,4,2,8) = 294912 / 12288

LCM(2,3,3,4,2,8,4,4,2,8) = 24


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 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8

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 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8?

Answer: GCF of Numerators as per given numbers 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8 is

GCF of Numerators i.e. for 96,54,14,81,993,33,86,893,65,46 is 1

LCM of denominators i.e. for 2,3,3,4,2,8,4,4,2,8 is 24.

Thus, GCF of Fractions is 1/24.Finally, GCF of Fractions for 96/2, 54/3, 14/3, 81/4, 993/2, 33/8, 86/4, 893/4, 65/2, 46/8 is 1/24.