GCD of 405, 475, 366, 355 Calculator

Given Input numbers are 405, 475, 366, 355

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 405, 475, 366, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 475, 366, 355 is 1.

Therefore, GCD of numbers 405, 475, 366, 355 is 1

Given Input Data is 405, 475, 366, 355

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 366 is 2 x 3 x 61

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(405, 475) = 38475

GCD(405, 475) = ( 405 x 475 ) / 38475

GCD(405, 475) = 192375 / 38475

GCD(405, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 366

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

LCM(5, 366) = 1830

GCD(5, 366) = ( 5 x 366 ) / 1830

GCD(5, 366) = 1830 / 1830

GCD(5, 366) = 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 405, 475, 366, 355 is 1

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1. What is the GCD of 405, 475, 366, 355?

GCD of 405, 475, 366, 355 is 1

2. Where do I get the detailed procedure to find GCD of 405, 475, 366, 355?

You can find a detailed procedure to find GCD of 405, 475, 366, 355 on our page.

3. How to find GCD of 405, 475, 366, 355 on a calculator?

You can find the GCD of 405, 475, 366, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.