Greatest Common Factor of 164/20, 568/4017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/20, 568/4017

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 164/20,568/4017

Given fractions are 164/20,568/4017

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 164,568

Greatest Common Factor of Numerators i.e. GCF of 164,568 is 4 .

LCM of Denominators means LCM of 20,4017 as per the given fractions.

LCM of 20,4017 is 80340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,568

GCF of Fractions 164/20,568/4017 is 4/80340

2 164, 568
2 82, 284
41, 142

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 164,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,568 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 164,568 . The biggest common factor number is the GCF number.
So the greatest common factor 164,568 is 4.

Lets's calculate LCM of 20,4017

Given numbers has no common factors except 1. So, there LCM is their product i.e 80340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/80340

Therefore, the GCF of Fractions 164/20,568/4017 is 4/80340

Least Common Multiple of 20,4017 with GCF Formula

Least Common Multiple of 20,4017 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 20,4017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,4017) = 1

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

GCF(20,4017) x common factors =1 x 1 = 1

LCM(20,4017) = ( 20 × 4017 ) / 1

LCM(20,4017) = 80340 / 1

LCM(20,4017) = 80340


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 164/20, 568/4017

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 164/20, 568/4017?

Answer: GCF of Numerators as per given numbers 164/20, 568/4017 is

GCF of Numerators i.e. for 164,568 is 4

LCM of denominators i.e. for 20,4017 is 80340.

Thus, GCF of Fractions is 4/80340.Finally, GCF of Fractions for 164/20, 568/4017 is 4/80340.