Greatest Common Factor of 999/598, 9693/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 999/598, 9693/289

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 999/598,9693/289

Given fractions are 999/598,9693/289

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 999,9693

Greatest Common Factor of Numerators i.e. GCF of 999,9693 is 27 .

LCM of Denominators means LCM of 598,289 as per the given fractions.

LCM of 598,289 is 172822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,9693

GCF of Fractions 999/598,9693/289 is 27/172822

3 999, 9693
3 333, 3231
3 111, 1077
37, 359

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

Greatest Common Factor of 999,9693 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,9693 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 9693

List of positive integer factors of 9693 that divides 9693 without a remainder.

1,3,9,27,359,1077,3231,9693

Greatest Common Factor

We found the factors 999,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 999,9693 is 27.

Lets's calculate LCM of 598,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 172822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/172822

Therefore, the GCF of Fractions 999/598,9693/289 is 27/172822

Least Common Multiple of 598,289 with GCF Formula

Least Common Multiple of 598,289 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 598,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,289) = 1

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

GCF(598,289) x common factors =1 x 1 = 1

LCM(598,289) = ( 598 × 289 ) / 1

LCM(598,289) = 172822 / 1

LCM(598,289) = 172822


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 999/598, 9693/289

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 999/598, 9693/289?

Answer: GCF of Numerators as per given numbers 999/598, 9693/289 is

GCF of Numerators i.e. for 999,9693 is 27

LCM of denominators i.e. for 598,289 is 172822.

Thus, GCF of Fractions is 27/172822.Finally, GCF of Fractions for 999/598, 9693/289 is 27/172822.