Greatest Common Factor of 198/792, 1538/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/792, 1538/380

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 198/792,1538/380

Given fractions are 198/792,1538/380

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 198,1538

Greatest Common Factor of Numerators i.e. GCF of 198,1538 is 2 .

LCM of Denominators means LCM of 792,380 as per the given fractions.

LCM of 792,380 is 75240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,1538

GCF of Fractions 198/792,1538/380 is 2/75240

2 198, 1538
99, 769

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

Greatest Common Factor of 198,1538 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,1538 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1,2,769,1538

Greatest Common Factor

We found the factors 198,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 198,1538 is 2.

Lets's calculate LCM of 792,380

2 792, 380
2 396, 190
198, 95

∴ So the LCM of the given numbers is 2 x 2 x 198 x 95 = 75240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75240

Therefore, the GCF of Fractions 198/792,1538/380 is 2/75240

Least Common Multiple of 792,380 with GCF Formula

Least Common Multiple of 792,380 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 792,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,380) = 4

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

GCF(792,380) x common factors =4 x 1 = 4

LCM(792,380) = ( 792 × 380 ) / 4

LCM(792,380) = 300960 / 4

LCM(792,380) = 75240


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 198/792, 1538/380

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 198/792, 1538/380?

Answer: GCF of Numerators as per given numbers 198/792, 1538/380 is

GCF of Numerators i.e. for 198,1538 is 2

LCM of denominators i.e. for 792,380 is 75240.

Thus, GCF of Fractions is 2/75240.Finally, GCF of Fractions for 198/792, 1538/380 is 2/75240.