Greatest Common Factor of 328/186, 7545/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/186, 7545/195

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 328/186,7545/195

Given fractions are 328/186,7545/195

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 328,7545

Greatest Common Factor of Numerators i.e. GCF of 328,7545 is 1 .

LCM of Denominators means LCM of 186,195 as per the given fractions.

LCM of 186,195 is 12090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,7545

GCF of Fractions 328/186,7545/195 is 1/12090

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 328,7545 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,7545 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1,3,5,15,503,1509,2515,7545

Greatest Common Factor

We found the factors 328,7545 . The biggest common factor number is the GCF number.
So the greatest common factor 328,7545 is 1.

Lets's calculate LCM of 186,195

3 186, 195
62, 65

∴ So the LCM of the given numbers is 3 x 62 x 65 = 12090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12090

Therefore, the GCF of Fractions 328/186,7545/195 is 1/12090

Least Common Multiple of 186,195 with GCF Formula

Least Common Multiple of 186,195 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 186,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,195) = 3

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

GCF(186,195) x common factors =3 x 1 = 3

LCM(186,195) = ( 186 × 195 ) / 3

LCM(186,195) = 36270 / 3

LCM(186,195) = 12090


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 328/186, 7545/195

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 328/186, 7545/195?

Answer: GCF of Numerators as per given numbers 328/186, 7545/195 is

GCF of Numerators i.e. for 328,7545 is 1

LCM of denominators i.e. for 186,195 is 12090.

Thus, GCF of Fractions is 1/12090.Finally, GCF of Fractions for 328/186, 7545/195 is 1/12090.