GCD of 395, 470, 22, 403 Calculator

Given Input numbers are 395, 470, 22, 403

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 395, 470, 22, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 470, 22, 403 is 1.

Therefore, GCD of numbers 395, 470, 22, 403 is 1

Given Input Data is 395, 470, 22, 403

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 22 is 2 x 11

Prime Factorization of 403 is 13 x 31

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(395, 470) = 37130

GCD(395, 470) = ( 395 x 470 ) / 37130

GCD(395, 470) = 185650 / 37130

GCD(395, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 22

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

LCM(5, 22) = 110

GCD(5, 22) = ( 5 x 22 ) / 110

GCD(5, 22) = 110 / 110

GCD(5, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 395, 470, 22, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 492, 82, 322
• GCD of 944, 596, 40, 918
• GCD of 597, 762, 67, 405
• GCD of 471, 345, 88, 446
• GCD of 417, 570, 67, 300

1. What is the GCD of 395, 470, 22, 403?

GCD of 395, 470, 22, 403 is 1

2. Where do I get the detailed procedure to find GCD of 395, 470, 22, 403?

You can find a detailed procedure to find GCD of 395, 470, 22, 403 on our page.

3. How to find GCD of 395, 470, 22, 403 on a calculator?

You can find the GCD of 395, 470, 22, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.