Greatest Common Factor of 18/28, 17/75, 65/15, 384/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/28, 17/75, 65/15, 384/38

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 18/28,17/75,65/15,384/38

Given fractions are 18/28,17/75,65/15,384/38

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 18,17,65,384

Greatest Common Factor of Numerators i.e. GCF of 18,17,65,384 is 1 .

LCM of Denominators means LCM of 28,75,15,38 as per the given fractions.

LCM of 28,75,15,38 is 39900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,17,65,384

GCF of Fractions 18/28,17/75,65/15,384/38 is 1/39900

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

Greatest Common Factor of 18,17,65,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,17,65,384 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 18,17,65,384 . The biggest common factor number is the GCF number.
So the greatest common factor 18,17,65,384 is 1.

Lets's calculate LCM of 28,75,15,38

2 28, 75, 15, 38
3 14, 75, 15, 19
5 14, 25, 5, 19
14, 1, 5, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 1 x 5 x 19 = 39900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39900

Therefore, the GCF of Fractions 18/28,17/75,65/15,384/38 is 1/39900

Least Common Multiple of 28,75,15,38 with GCF Formula

Least Common Multiple of 28,75,15,38 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 28,75,15,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,75,15,38) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(28,75,15,38) x common factors =1 x 30 = 30

LCM(28,75,15,38) = ( 28 × 75 × 15 × 38 ) / 30

LCM(28,75,15,38) = 1197000 / 30

LCM(28,75,15,38) = 39900


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 18/28, 17/75, 65/15, 384/38

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 18/28, 17/75, 65/15, 384/38?

Answer: GCF of Numerators as per given numbers 18/28, 17/75, 65/15, 384/38 is

GCF of Numerators i.e. for 18,17,65,384 is 1

LCM of denominators i.e. for 28,75,15,38 is 39900.

Thus, GCF of Fractions is 1/39900.Finally, GCF of Fractions for 18/28, 17/75, 65/15, 384/38 is 1/39900.