Greatest Common Factor of 216/85, 4096/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/85, 4096/561

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 216/85,4096/561

Given fractions are 216/85,4096/561

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 216,4096

Greatest Common Factor of Numerators i.e. GCF of 216,4096 is 8 .

LCM of Denominators means LCM of 85,561 as per the given fractions.

LCM of 85,561 is 2805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,4096

GCF of Fractions 216/85,4096/561 is 8/2805

2 216, 4096
2 108, 2048
2 54, 1024
27, 512

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 216,4096 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,4096 By Matching Biggest Common Factor Method

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

Factors of 4096

List of positive integer factors of 4096 that divides 4096 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048,4096

Greatest Common Factor

We found the factors 216,4096 . The biggest common factor number is the GCF number.
So the greatest common factor 216,4096 is 8.

Lets's calculate LCM of 85,561

17 85, 561
5, 33

∴ So the LCM of the given numbers is 17 x 5 x 33 = 2805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2805

Therefore, the GCF of Fractions 216/85,4096/561 is 8/2805

Least Common Multiple of 85,561 with GCF Formula

Least Common Multiple of 85,561 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 85,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,561) = 17

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

GCF(85,561) x common factors =17 x 1 = 17

LCM(85,561) = ( 85 × 561 ) / 17

LCM(85,561) = 47685 / 17

LCM(85,561) = 2805


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 216/85, 4096/561

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 216/85, 4096/561?

Answer: GCF of Numerators as per given numbers 216/85, 4096/561 is

GCF of Numerators i.e. for 216,4096 is 8

LCM of denominators i.e. for 85,561 is 2805.

Thus, GCF of Fractions is 8/2805.Finally, GCF of Fractions for 216/85, 4096/561 is 8/2805.