Greatest Common Factor of 328/12, 180/36, 319/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/12, 180/36, 319/45

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 328/12,180/36,319/45

Given fractions are 328/12,180/36,319/45

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 328,180,319

Greatest Common Factor of Numerators i.e. GCF of 328,180,319 is 1 .

LCM of Denominators means LCM of 12,36,45 as per the given fractions.

LCM of 12,36,45 is 180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,180,319

GCF of Fractions 328/12,180/36,319/45 is 1/180

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

Greatest Common Factor of 328,180,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,180,319 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 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 328,180,319 . The biggest common factor number is the GCF number.
So the greatest common factor 328,180,319 is 1.

Lets's calculate LCM of 12,36,45

2 12, 36, 45
2 6, 18, 45
3 3, 9, 45
3 1, 3, 15
1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 5 = 180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180

Therefore, the GCF of Fractions 328/12,180/36,319/45 is 1/180

Least Common Multiple of 12,36,45 with GCF Formula

Least Common Multiple of 12,36,45 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 12,36,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,36,45) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(12,36,45) x common factors =3 x 36 = 108

LCM(12,36,45) = ( 12 × 36 × 45 ) / 108

LCM(12,36,45) = 19440 / 108

LCM(12,36,45) = 180


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 328/12, 180/36, 319/45

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 328/12, 180/36, 319/45?

Answer: GCF of Numerators as per given numbers 328/12, 180/36, 319/45 is

GCF of Numerators i.e. for 328,180,319 is 1

LCM of denominators i.e. for 12,36,45 is 180.

Thus, GCF of Fractions is 1/180.Finally, GCF of Fractions for 328/12, 180/36, 319/45 is 1/180.