Greatest Common Factor of 388/29, 192/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/29, 192/999

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 388/29,192/999

Given fractions are 388/29,192/999

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 388,192

Greatest Common Factor of Numerators i.e. GCF of 388,192 is 4 .

LCM of Denominators means LCM of 29,999 as per the given fractions.

LCM of 29,999 is 28971 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,192

GCF of Fractions 388/29,192/999 is 4/28971

2 388, 192
2 194, 96
97, 48

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 388,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,192 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 388,192 . The biggest common factor number is the GCF number.
So the greatest common factor 388,192 is 4.

Lets's calculate LCM of 29,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 28971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28971

Therefore, the GCF of Fractions 388/29,192/999 is 4/28971

Least Common Multiple of 29,999 with GCF Formula

Least Common Multiple of 29,999 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 29,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,999) = 1

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

GCF(29,999) x common factors =1 x 1 = 1

LCM(29,999) = ( 29 × 999 ) / 1

LCM(29,999) = 28971 / 1

LCM(29,999) = 28971


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 388/29, 192/999

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 388/29, 192/999?

Answer: GCF of Numerators as per given numbers 388/29, 192/999 is

GCF of Numerators i.e. for 388,192 is 4

LCM of denominators i.e. for 29,999 is 28971.

Thus, GCF of Fractions is 4/28971.Finally, GCF of Fractions for 388/29, 192/999 is 4/28971.