Greatest Common Factor of 29/24, 21/37, 309/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/24, 21/37, 309/167

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 29/24,21/37,309/167

Given fractions are 29/24,21/37,309/167

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 29,21,309

Greatest Common Factor of Numerators i.e. GCF of 29,21,309 is 1 .

LCM of Denominators means LCM of 24,37,167 as per the given fractions.

LCM of 24,37,167 is 148296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,21,309

GCF of Fractions 29/24,21/37,309/167 is 1/148296

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

Greatest Common Factor of 29,21,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,21,309 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 29,21,309 . The biggest common factor number is the GCF number.
So the greatest common factor 29,21,309 is 1.

Lets's calculate LCM of 24,37,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 148296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148296

Therefore, the GCF of Fractions 29/24,21/37,309/167 is 1/148296

Least Common Multiple of 24,37,167 with GCF Formula

Least Common Multiple of 24,37,167 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 24,37,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,37,167) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(24,37,167) x common factors =1 x 1 = 1

LCM(24,37,167) = ( 24 × 37 × 167 ) / 1

LCM(24,37,167) = 148296 / 1

LCM(24,37,167) = 148296


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 29/24, 21/37, 309/167

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 29/24, 21/37, 309/167?

Answer: GCF of Numerators as per given numbers 29/24, 21/37, 309/167 is

GCF of Numerators i.e. for 29,21,309 is 1

LCM of denominators i.e. for 24,37,167 is 148296.

Thus, GCF of Fractions is 1/148296.Finally, GCF of Fractions for 29/24, 21/37, 309/167 is 1/148296.