Greatest Common Factor of 171/65, 819/25, 189/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/65, 819/25, 189/18

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 171/65,819/25,189/18

Given fractions are 171/65,819/25,189/18

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 171,819,189

Greatest Common Factor of Numerators i.e. GCF of 171,819,189 is 9 .

LCM of Denominators means LCM of 65,25,18 as per the given fractions.

LCM of 65,25,18 is 5850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,819,189

GCF of Fractions 171/65,819/25,189/18 is 9/5850

3 171, 819, 189
3 57, 273, 63
19, 91, 21

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 171,819,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,819,189 By Matching Biggest Common Factor Method

Factors of 171

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

1,3,9,19,57,171

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 171,819,189 . The biggest common factor number is the GCF number.
So the greatest common factor 171,819,189 is 9.

Lets's calculate LCM of 65,25,18

5 65, 25, 18
13, 5, 18

∴ So the LCM of the given numbers is 5 x 13 x 5 x 18 = 5850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5850

Therefore, the GCF of Fractions 171/65,819/25,189/18 is 9/5850

Least Common Multiple of 65,25,18 with GCF Formula

Least Common Multiple of 65,25,18 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 65,25,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,25,18) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,25,18) x common factors =1 x 5 = 5

LCM(65,25,18) = ( 65 × 25 × 18 ) / 5

LCM(65,25,18) = 29250 / 5

LCM(65,25,18) = 5850


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 171/65, 819/25, 189/18

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 171/65, 819/25, 189/18?

Answer: GCF of Numerators as per given numbers 171/65, 819/25, 189/18 is

GCF of Numerators i.e. for 171,819,189 is 9

LCM of denominators i.e. for 65,25,18 is 5850.

Thus, GCF of Fractions is 9/5850.Finally, GCF of Fractions for 171/65, 819/25, 189/18 is 9/5850.