GCD of 208, 135, 73, 565 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 208, 135, 73, 565 i.e. 1 largest integer that divides all the numbers equally.

GCD of 208, 135, 73, 565 is 1

GCD(208, 135, 73, 565) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 208, 135, 73, 565 is 1

GCD(208, 135, 73, 565) = 1

GCD of 208,135,73,565 Calculator

GCDof 208,135,73,565 is 1

Given Input numbers are 208, 135, 73, 565

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 208, 135, 73, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 135, 73, 565 is 1.

Therefore, GCD of numbers 208, 135, 73, 565 is 1

Finding GCD of 208, 135, 73, 565 using Prime Factorization

Given Input Data is 208, 135, 73, 565

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 73 is 73

Prime Factorization of 565 is 5 x 113

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 208, 135, 73, 565 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(208, 135) = 28080

GCD(208, 135) = ( 208 x 135 ) / 28080

GCD(208, 135) = 28080 / 28080

GCD(208, 135) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 208, 135, 73, 565 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 208, 135, 73, 565

1. What is the GCD of 208, 135, 73, 565?

GCD of 208, 135, 73, 565 is 1


2. Where do I get the detailed procedure to find GCD of 208, 135, 73, 565?

You can find a detailed procedure to find GCD of 208, 135, 73, 565 on our page.


3. How to find GCD of 208, 135, 73, 565 on a calculator?

You can find the GCD of 208, 135, 73, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.