Greatest Common Factor of 4275/198, 8853/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4275/198, 8853/172

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 4275/198,8853/172

Given fractions are 4275/198,8853/172

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 4275,8853

Greatest Common Factor of Numerators i.e. GCF of 4275,8853 is 3 .

LCM of Denominators means LCM of 198,172 as per the given fractions.

LCM of 198,172 is 17028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4275,8853

GCF of Fractions 4275/198,8853/172 is 3/17028

3 4275, 8853
1425, 2951

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

Greatest Common Factor of 4275,8853 By Matching Biggest Common Factor Method

Greatest Common Factor of 4275,8853 By Matching Biggest Common Factor Method

Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275

Factors of 8853

List of positive integer factors of 8853 that divides 8853 without a remainder.

1,3,13,39,227,681,2951,8853

Greatest Common Factor

We found the factors 4275,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 4275,8853 is 3.

Lets's calculate LCM of 198,172

2 198, 172
99, 86

∴ So the LCM of the given numbers is 2 x 99 x 86 = 17028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17028

Therefore, the GCF of Fractions 4275/198,8853/172 is 3/17028

Least Common Multiple of 198,172 with GCF Formula

Least Common Multiple of 198,172 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 198,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,172) = 2

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

GCF(198,172) x common factors =2 x 1 = 2

LCM(198,172) = ( 198 × 172 ) / 2

LCM(198,172) = 34056 / 2

LCM(198,172) = 17028


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 4275/198, 8853/172

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 4275/198, 8853/172?

Answer: GCF of Numerators as per given numbers 4275/198, 8853/172 is

GCF of Numerators i.e. for 4275,8853 is 3

LCM of denominators i.e. for 198,172 is 17028.

Thus, GCF of Fractions is 3/17028.Finally, GCF of Fractions for 4275/198, 8853/172 is 3/17028.