Greatest Common Factor of 46/23, 96/81, 16/49, 38/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/23, 96/81, 16/49, 38/162

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 46/23,96/81,16/49,38/162

Given fractions are 46/23,96/81,16/49,38/162

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 46,96,16,38

Greatest Common Factor of Numerators i.e. GCF of 46,96,16,38 is 2 .

LCM of Denominators means LCM of 23,81,49,162 as per the given fractions.

LCM of 23,81,49,162 is 182574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,96,16,38

GCF of Fractions 46/23,96/81,16/49,38/162 is 2/182574

2 46, 96, 16, 38
23, 48, 8, 19

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

Greatest Common Factor of 46,96,16,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,96,16,38 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 46,96,16,38 . The biggest common factor number is the GCF number.
So the greatest common factor 46,96,16,38 is 2.

Lets's calculate LCM of 23,81,49,162

3 23, 81, 49, 162
3 23, 27, 49, 54
3 23, 9, 49, 18
3 23, 3, 49, 6
23, 1, 49, 2

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 23 x 1 x 49 x 2 = 182574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182574

Therefore, the GCF of Fractions 46/23,96/81,16/49,38/162 is 2/182574

Least Common Multiple of 23,81,49,162 with GCF Formula

Least Common Multiple of 23,81,49,162 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 23,81,49,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,81,49,162) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(23,81,49,162) x common factors =1 x 81 = 81

LCM(23,81,49,162) = ( 23 × 81 × 49 × 162 ) / 81

LCM(23,81,49,162) = 14788494 / 81

LCM(23,81,49,162) = 182574


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 46/23, 96/81, 16/49, 38/162

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 46/23, 96/81, 16/49, 38/162?

Answer: GCF of Numerators as per given numbers 46/23, 96/81, 16/49, 38/162 is

GCF of Numerators i.e. for 46,96,16,38 is 2

LCM of denominators i.e. for 23,81,49,162 is 182574.

Thus, GCF of Fractions is 2/182574.Finally, GCF of Fractions for 46/23, 96/81, 16/49, 38/162 is 2/182574.