Greatest Common Factor of 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3

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 15/1,80/4,39/1,38/8,493/1,53/4,79/1,188/4,13/8,73/3

Given fractions are 15/1,80/4,39/1,38/8,493/1,53/4,79/1,188/4,13/8,73/3

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 15,80,39,38,493,53,79,188,13,73

Greatest Common Factor of Numerators i.e. GCF of 15,80,39,38,493,53,79,188,13,73 is 1 .

LCM of Denominators means LCM of 1,4,1,8,1,4,1,4,8,3 as per the given fractions.

LCM of 1,4,1,8,1,4,1,4,8,3 is 24 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,80,39,38,493,53,79,188,13,73

GCF of Fractions 15/1,80/4,39/1,38/8,493/1,53/4,79/1,188/4,13/8,73/3 is 1/24

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

Greatest Common Factor of 15,80,39,38,493,53,79,188,13,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,80,39,38,493,53,79,188,13,73 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 15,80,39,38,493,53,79,188,13,73 . The biggest common factor number is the GCF number.
So the greatest common factor 15,80,39,38,493,53,79,188,13,73 is 1.

Lets's calculate LCM of 1,4,1,8,1,4,1,4,8,3

2 1, 4, 1, 8, 1, 4, 1, 4, 8, 3
2 1, 2, 1, 4, 1, 2, 1, 2, 4, 3
2 1, 1, 1, 1, 1, 1, 1, 2, 2, 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 = 24

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24

Therefore, the GCF of Fractions 15/1,80/4,39/1,38/8,493/1,53/4,79/1,188/4,13/8,73/3 is 1/24

Least Common Multiple of 1,4,1,8,1,4,1,4,8,3 with GCF Formula

Least Common Multiple of 1,4,1,8,1,4,1,4,8,3 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 1,4,1,8,1,4,1,4,8,3 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,4,1,8,1,4,1,4,8,3) = 1

common factors(in case of two or more numbers have common factors) = 512

GCF(1,4,1,8,1,4,1,4,8,3) x common factors =1 x 512 = 512

LCM(1,4,1,8,1,4,1,4,8,3) = ( 1 × 4 × 1 × 8 × 1 × 4 × 1 × 4 × 8 × 3 ) / 512

LCM(1,4,1,8,1,4,1,4,8,3) = 12288 / 512

LCM(1,4,1,8,1,4,1,4,8,3) = 24


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 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3

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 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3?

Answer: GCF of Numerators as per given numbers 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3 is

GCF of Numerators i.e. for 15,80,39,38,493,53,79,188,13,73 is 1

LCM of denominators i.e. for 1,4,1,8,1,4,1,4,8,3 is 24.

Thus, GCF of Fractions is 1/24.Finally, GCF of Fractions for 15/1, 80/4, 39/1, 38/8, 493/1, 53/4, 79/1, 188/4, 13/8, 73/3 is 1/24.