Greatest Common Factor of 600/160, 586/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/160, 586/217

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 600/160,586/217

Given fractions are 600/160,586/217

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 600,586

Greatest Common Factor of Numerators i.e. GCF of 600,586 is 2 .

LCM of Denominators means LCM of 160,217 as per the given fractions.

LCM of 160,217 is 34720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,586

GCF of Fractions 600/160,586/217 is 2/34720

2 600, 586
300, 293

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

Greatest Common Factor of 600,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,586 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 600,586 . The biggest common factor number is the GCF number.
So the greatest common factor 600,586 is 2.

Lets's calculate LCM of 160,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 34720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34720

Therefore, the GCF of Fractions 600/160,586/217 is 2/34720

Least Common Multiple of 160,217 with GCF Formula

Least Common Multiple of 160,217 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 160,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,217) = 1

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

GCF(160,217) x common factors =1 x 1 = 1

LCM(160,217) = ( 160 × 217 ) / 1

LCM(160,217) = 34720 / 1

LCM(160,217) = 34720


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 600/160, 586/217

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 600/160, 586/217?

Answer: GCF of Numerators as per given numbers 600/160, 586/217 is

GCF of Numerators i.e. for 600,586 is 2

LCM of denominators i.e. for 160,217 is 34720.

Thus, GCF of Fractions is 2/34720.Finally, GCF of Fractions for 600/160, 586/217 is 2/34720.