GCD of 409, 875, 18, 422 Calculator

Given Input numbers are 409, 875, 18, 422

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 409, 875, 18, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 875, 18, 422 is 1.

Therefore, GCD of numbers 409, 875, 18, 422 is 1

Given Input Data is 409, 875, 18, 422

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

Prime Factorization of 409 is 409

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 422 is 2 x 211

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(409, 875) = 357875

GCD(409, 875) = ( 409 x 875 ) / 357875

GCD(409, 875) = 357875 / 357875

GCD(409, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 409, 875, 18, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 717, 71, 426
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• GCD of 849, 384, 15, 619
• GCD of 600, 314, 31, 595
• GCD of 361, 535, 74, 155

1. What is the GCD of 409, 875, 18, 422?

GCD of 409, 875, 18, 422 is 1

2. Where do I get the detailed procedure to find GCD of 409, 875, 18, 422?

You can find a detailed procedure to find GCD of 409, 875, 18, 422 on our page.

3. How to find GCD of 409, 875, 18, 422 on a calculator?

You can find the GCD of 409, 875, 18, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.