Greatest Common Factor of 75/17, 20/27, 17/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/17, 20/27, 17/155

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 75/17,20/27,17/155

Given fractions are 75/17,20/27,17/155

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 75,20,17

Greatest Common Factor of Numerators i.e. GCF of 75,20,17 is 1 .

LCM of Denominators means LCM of 17,27,155 as per the given fractions.

LCM of 17,27,155 is 71145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,20,17

GCF of Fractions 75/17,20/27,17/155 is 1/71145

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

Greatest Common Factor of 75,20,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,20,17 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 17

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

1,17

Greatest Common Factor

We found the factors 75,20,17 . The biggest common factor number is the GCF number.
So the greatest common factor 75,20,17 is 1.

Lets's calculate LCM of 17,27,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 71145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71145

Therefore, the GCF of Fractions 75/17,20/27,17/155 is 1/71145

Least Common Multiple of 17,27,155 with GCF Formula

Least Common Multiple of 17,27,155 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 17,27,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,27,155) = 1

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

GCF(17,27,155) x common factors =1 x 1 = 1

LCM(17,27,155) = ( 17 × 27 × 155 ) / 1

LCM(17,27,155) = 71145 / 1

LCM(17,27,155) = 71145


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 75/17, 20/27, 17/155

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 75/17, 20/27, 17/155?

Answer: GCF of Numerators as per given numbers 75/17, 20/27, 17/155 is

GCF of Numerators i.e. for 75,20,17 is 1

LCM of denominators i.e. for 17,27,155 is 71145.

Thus, GCF of Fractions is 1/71145.Finally, GCF of Fractions for 75/17, 20/27, 17/155 is 1/71145.