GCD of 205, 220, 32, 355 Calculator

Given Input numbers are 205, 220, 32, 355

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 205, 220, 32, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 220, 32, 355 is 1.

Therefore, GCD of numbers 205, 220, 32, 355 is 1

Given Input Data is 205, 220, 32, 355

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 355 is 5 x 71

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(205, 220) = 9020

GCD(205, 220) = ( 205 x 220 ) / 9020

GCD(205, 220) = 45100 / 9020

GCD(205, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 32

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

LCM(5, 32) = 160

GCD(5, 32) = ( 5 x 32 ) / 160

GCD(5, 32) = 160 / 160

GCD(5, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 205, 220, 32, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 590, 52, 432
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• GCD of 282, 807, 51, 709
• GCD of 529, 401, 95, 708

1. What is the GCD of 205, 220, 32, 355?

GCD of 205, 220, 32, 355 is 1

2. Where do I get the detailed procedure to find GCD of 205, 220, 32, 355?

You can find a detailed procedure to find GCD of 205, 220, 32, 355 on our page.

3. How to find GCD of 205, 220, 32, 355 on a calculator?

You can find the GCD of 205, 220, 32, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.