GCD of 565, 296, 65, 205 Calculator

Given Input numbers are 565, 296, 65, 205

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

Divisors of 565

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

1, 5, 113, 565

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 565, 296, 65, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 296, 65, 205 is 1.

Therefore, GCD of numbers 565, 296, 65, 205 is 1

Given Input Data is 565, 296, 65, 205

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 65 is 5 x 13

Prime Factorization of 205 is 5 x 41

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

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(565, 296) = 167240

GCD(565, 296) = ( 565 x 296 ) / 167240

GCD(565, 296) = 167240 / 167240

GCD(565, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 565, 296, 65, 205 is 1

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1. What is the GCD of 565, 296, 65, 205?

GCD of 565, 296, 65, 205 is 1

2. Where do I get the detailed procedure to find GCD of 565, 296, 65, 205?

You can find a detailed procedure to find GCD of 565, 296, 65, 205 on our page.

3. How to find GCD of 565, 296, 65, 205 on a calculator?

You can find the GCD of 565, 296, 65, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.