Greatest Common Factor of 586/85, 216/5900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/85, 216/5900

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 586/85,216/5900

Given fractions are 586/85,216/5900

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 586,216

Greatest Common Factor of Numerators i.e. GCF of 586,216 is 2 .

LCM of Denominators means LCM of 85,5900 as per the given fractions.

LCM of 85,5900 is 100300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,216

GCF of Fractions 586/85,216/5900 is 2/100300

2 586, 216
293, 108

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

Greatest Common Factor of 586,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,216 By Matching Biggest Common Factor Method

Factors of 586

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

1,2,293,586

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 586,216 . The biggest common factor number is the GCF number.
So the greatest common factor 586,216 is 2.

Lets's calculate LCM of 85,5900

5 85, 5900
17, 1180

∴ So the LCM of the given numbers is 5 x 17 x 1180 = 100300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100300

Therefore, the GCF of Fractions 586/85,216/5900 is 2/100300

Least Common Multiple of 85,5900 with GCF Formula

Least Common Multiple of 85,5900 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 85,5900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,5900) = 5

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

GCF(85,5900) x common factors =5 x 1 = 5

LCM(85,5900) = ( 85 × 5900 ) / 5

LCM(85,5900) = 501500 / 5

LCM(85,5900) = 100300


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 586/85, 216/5900

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 586/85, 216/5900?

Answer: GCF of Numerators as per given numbers 586/85, 216/5900 is

GCF of Numerators i.e. for 586,216 is 2

LCM of denominators i.e. for 85,5900 is 100300.

Thus, GCF of Fractions is 2/100300.Finally, GCF of Fractions for 586/85, 216/5900 is 2/100300.