Greatest Common Factor of 999/30, 719/44, 344/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 999/30, 719/44, 344/123

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 999/30,719/44,344/123

Given fractions are 999/30,719/44,344/123

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 999,719,344

Greatest Common Factor of Numerators i.e. GCF of 999,719,344 is 1 .

LCM of Denominators means LCM of 30,44,123 as per the given fractions.

LCM of 30,44,123 is 27060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,719,344

GCF of Fractions 999/30,719/44,344/123 is 1/27060

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

Greatest Common Factor of 999,719,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,719,344 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 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 999,719,344 . The biggest common factor number is the GCF number.
So the greatest common factor 999,719,344 is 1.

Lets's calculate LCM of 30,44,123

2 30, 44, 123
3 15, 22, 123
5, 22, 41

∴ So the LCM of the given numbers is 2 x 3 x 5 x 22 x 41 = 27060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27060

Therefore, the GCF of Fractions 999/30,719/44,344/123 is 1/27060

Least Common Multiple of 30,44,123 with GCF Formula

Least Common Multiple of 30,44,123 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 30,44,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,44,123) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,44,123) x common factors =1 x 6 = 6

LCM(30,44,123) = ( 30 × 44 × 123 ) / 6

LCM(30,44,123) = 162360 / 6

LCM(30,44,123) = 27060


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 999/30, 719/44, 344/123

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 999/30, 719/44, 344/123?

Answer: GCF of Numerators as per given numbers 999/30, 719/44, 344/123 is

GCF of Numerators i.e. for 999,719,344 is 1

LCM of denominators i.e. for 30,44,123 is 27060.

Thus, GCF of Fractions is 1/27060.Finally, GCF of Fractions for 999/30, 719/44, 344/123 is 1/27060.