Greatest Common Factor of 73/23, 60/61, 81/93, 38/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/23, 60/61, 81/93, 38/184

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 73/23,60/61,81/93,38/184

Given fractions are 73/23,60/61,81/93,38/184

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 73,60,81,38

Greatest Common Factor of Numerators i.e. GCF of 73,60,81,38 is 1 .

LCM of Denominators means LCM of 23,61,93,184 as per the given fractions.

LCM of 23,61,93,184 is 1043832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,60,81,38

GCF of Fractions 73/23,60/61,81/93,38/184 is 1/1043832

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

Greatest Common Factor of 73,60,81,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,60,81,38 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 81

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

1,3,9,27,81

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 73,60,81,38 . The biggest common factor number is the GCF number.
So the greatest common factor 73,60,81,38 is 1.

Lets's calculate LCM of 23,61,93,184

23 23, 61, 93, 184
1, 61, 93, 8

∴ So the LCM of the given numbers is 23 x 1 x 61 x 93 x 8 = 1043832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043832

Therefore, the GCF of Fractions 73/23,60/61,81/93,38/184 is 1/1043832

Least Common Multiple of 23,61,93,184 with GCF Formula

Least Common Multiple of 23,61,93,184 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 23,61,93,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,61,93,184) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,61,93,184) x common factors =1 x 23 = 23

LCM(23,61,93,184) = ( 23 × 61 × 93 × 184 ) / 23

LCM(23,61,93,184) = 24008136 / 23

LCM(23,61,93,184) = 1043832


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 73/23, 60/61, 81/93, 38/184

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 73/23, 60/61, 81/93, 38/184?

Answer: GCF of Numerators as per given numbers 73/23, 60/61, 81/93, 38/184 is

GCF of Numerators i.e. for 73,60,81,38 is 1

LCM of denominators i.e. for 23,61,93,184 is 1043832.

Thus, GCF of Fractions is 1/1043832.Finally, GCF of Fractions for 73/23, 60/61, 81/93, 38/184 is 1/1043832.