Greatest Common Factor of 198/75, 274/6375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/75, 274/6375

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 198/75,274/6375

Given fractions are 198/75,274/6375

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 198,274

Greatest Common Factor of Numerators i.e. GCF of 198,274 is 2 .

LCM of Denominators means LCM of 75,6375 as per the given fractions.

LCM of 75,6375 is 6375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,274

GCF of Fractions 198/75,274/6375 is 2/6375

2 198, 274
99, 137

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

Greatest Common Factor of 198,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,274 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 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 198,274 . The biggest common factor number is the GCF number.
So the greatest common factor 198,274 is 2.

Lets's calculate LCM of 75,6375

3 75, 6375
5 25, 2125
5 5, 425
1, 85

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 85 = 6375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6375

Therefore, the GCF of Fractions 198/75,274/6375 is 2/6375

Least Common Multiple of 75,6375 with GCF Formula

Least Common Multiple of 75,6375 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 75,6375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,6375) = 75

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

GCF(75,6375) x common factors =75 x 1 = 75

LCM(75,6375) = ( 75 × 6375 ) / 75

LCM(75,6375) = 478125 / 75

LCM(75,6375) = 6375


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 198/75, 274/6375

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 198/75, 274/6375?

Answer: GCF of Numerators as per given numbers 198/75, 274/6375 is

GCF of Numerators i.e. for 198,274 is 2

LCM of denominators i.e. for 75,6375 is 6375.

Thus, GCF of Fractions is 2/6375.Finally, GCF of Fractions for 198/75, 274/6375 is 2/6375.