Greatest Common Factor of 24/89, 38/85, 73/94, 57/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/89, 38/85, 73/94, 57/182

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 24/89,38/85,73/94,57/182

Given fractions are 24/89,38/85,73/94,57/182

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 24,38,73,57

Greatest Common Factor of Numerators i.e. GCF of 24,38,73,57 is 1 .

LCM of Denominators means LCM of 89,85,94,182 as per the given fractions.

LCM of 89,85,94,182 is 64711010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,38,73,57

GCF of Fractions 24/89,38/85,73/94,57/182 is 1/64711010

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

Greatest Common Factor of 24,38,73,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,38,73,57 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 38

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

1,2,19,38

Factors of 73

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

1,73

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 24,38,73,57 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,73,57 is 1.

Lets's calculate LCM of 89,85,94,182

2 89, 85, 94, 182
89, 85, 47, 91

∴ So the LCM of the given numbers is 2 x 89 x 85 x 47 x 91 = 64711010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64711010

Therefore, the GCF of Fractions 24/89,38/85,73/94,57/182 is 1/64711010

Least Common Multiple of 89,85,94,182 with GCF Formula

Least Common Multiple of 89,85,94,182 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 89,85,94,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,85,94,182) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,85,94,182) x common factors =1 x 2 = 2

LCM(89,85,94,182) = ( 89 × 85 × 94 × 182 ) / 2

LCM(89,85,94,182) = 129422020 / 2

LCM(89,85,94,182) = 64711010


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 24/89, 38/85, 73/94, 57/182

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 24/89, 38/85, 73/94, 57/182?

Answer: GCF of Numerators as per given numbers 24/89, 38/85, 73/94, 57/182 is

GCF of Numerators i.e. for 24,38,73,57 is 1

LCM of denominators i.e. for 89,85,94,182 is 64711010.

Thus, GCF of Fractions is 1/64711010.Finally, GCF of Fractions for 24/89, 38/85, 73/94, 57/182 is 1/64711010.