Greatest Common Factor of 192/74, 5872/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 192/74, 5872/380

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 192/74,5872/380

Given fractions are 192/74,5872/380

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 192,5872

Greatest Common Factor of Numerators i.e. GCF of 192,5872 is 16 .

LCM of Denominators means LCM of 74,380 as per the given fractions.

LCM of 74,380 is 14060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 192,5872

GCF of Fractions 192/74,5872/380 is 16/14060

2 192, 5872
2 96, 2936
2 48, 1468
2 24, 734
12, 367

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 192,5872 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,5872 By Matching Biggest Common Factor Method

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

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Greatest Common Factor

We found the factors 192,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 192,5872 is 16.

Lets's calculate LCM of 74,380

2 74, 380
37, 190

∴ So the LCM of the given numbers is 2 x 37 x 190 = 14060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/14060

Therefore, the GCF of Fractions 192/74,5872/380 is 16/14060

Least Common Multiple of 74,380 with GCF Formula

Least Common Multiple of 74,380 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 74,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,380) = 2

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

GCF(74,380) x common factors =2 x 1 = 2

LCM(74,380) = ( 74 × 380 ) / 2

LCM(74,380) = 28120 / 2

LCM(74,380) = 14060


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 192/74, 5872/380

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 192/74, 5872/380?

Answer: GCF of Numerators as per given numbers 192/74, 5872/380 is

GCF of Numerators i.e. for 192,5872 is 16

LCM of denominators i.e. for 74,380 is 14060.

Thus, GCF of Fractions is 16/14060.Finally, GCF of Fractions for 192/74, 5872/380 is 16/14060.