Greatest Common Factor of 146/16, 171/27, 125/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/16, 171/27, 125/72

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 146/16,171/27,125/72

Given fractions are 146/16,171/27,125/72

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 146,171,125

Greatest Common Factor of Numerators i.e. GCF of 146,171,125 is 1 .

LCM of Denominators means LCM of 16,27,72 as per the given fractions.

LCM of 16,27,72 is 432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,171,125

GCF of Fractions 146/16,171/27,125/72 is 1/432

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

Greatest Common Factor of 146,171,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,171,125 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 146,171,125 . The biggest common factor number is the GCF number.
So the greatest common factor 146,171,125 is 1.

Lets's calculate LCM of 16,27,72

2 16, 27, 72
2 8, 27, 36
2 4, 27, 18
3 2, 27, 9
3 2, 3, 9
2, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 1 x 3 = 432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432

Therefore, the GCF of Fractions 146/16,171/27,125/72 is 1/432

Least Common Multiple of 16,27,72 with GCF Formula

Least Common Multiple of 16,27,72 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 16,27,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,27,72) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(16,27,72) x common factors =1 x 72 = 72

LCM(16,27,72) = ( 16 × 27 × 72 ) / 72

LCM(16,27,72) = 31104 / 72

LCM(16,27,72) = 432


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 146/16, 171/27, 125/72

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 146/16, 171/27, 125/72?

Answer: GCF of Numerators as per given numbers 146/16, 171/27, 125/72 is

GCF of Numerators i.e. for 146,171,125 is 1

LCM of denominators i.e. for 16,27,72 is 432.

Thus, GCF of Fractions is 1/432.Finally, GCF of Fractions for 146/16, 171/27, 125/72 is 1/432.