Greatest Common Factor of 999/85, 189/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 999/85, 189/173

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 999/85,189/173

Given fractions are 999/85,189/173

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 999,189

Greatest Common Factor of Numerators i.e. GCF of 999,189 is 27 .

LCM of Denominators means LCM of 85,173 as per the given fractions.

LCM of 85,173 is 14705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,189

GCF of Fractions 999/85,189/173 is 27/14705

3 999, 189
3 333, 63
3 111, 21
37, 7

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 999,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,189 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

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 999,189 . The biggest common factor number is the GCF number.
So the greatest common factor 999,189 is 27.

Lets's calculate LCM of 85,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 14705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/14705

Therefore, the GCF of Fractions 999/85,189/173 is 27/14705

Least Common Multiple of 85,173 with GCF Formula

Least Common Multiple of 85,173 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 85,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,173) = 1

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

GCF(85,173) x common factors =1 x 1 = 1

LCM(85,173) = ( 85 × 173 ) / 1

LCM(85,173) = 14705 / 1

LCM(85,173) = 14705


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 999/85, 189/173

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 999/85, 189/173?

Answer: GCF of Numerators as per given numbers 999/85, 189/173 is

GCF of Numerators i.e. for 999,189 is 27

LCM of denominators i.e. for 85,173 is 14705.

Thus, GCF of Fractions is 27/14705.Finally, GCF of Fractions for 999/85, 189/173 is 27/14705.