GCD of 405, 398, 335, 622 Calculator

Given Input numbers are 405, 398, 335, 622

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 405, 398, 335, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 398, 335, 622 is 1.

Therefore, GCD of numbers 405, 398, 335, 622 is 1

Given Input Data is 405, 398, 335, 622

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 398 is 2 x 199

Prime Factorization of 335 is 5 x 67

Prime Factorization of 622 is 2 x 311

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, 398) = 161190

GCD(405, 398) = ( 405 x 398 ) / 161190

GCD(405, 398) = 161190 / 161190

GCD(405, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 405, 398, 335, 622 is 1

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1. What is the GCD of 405, 398, 335, 622?

GCD of 405, 398, 335, 622 is 1

2. Where do I get the detailed procedure to find GCD of 405, 398, 335, 622?

You can find a detailed procedure to find GCD of 405, 398, 335, 622 on our page.

3. How to find GCD of 405, 398, 335, 622 on a calculator?

You can find the GCD of 405, 398, 335, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.