GCD of 397, 538, 20, 435 Calculator

Given Input numbers are 397, 538, 20, 435

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 397, 538, 20, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 538, 20, 435 is 1.

Therefore, GCD of numbers 397, 538, 20, 435 is 1

Given Input Data is 397, 538, 20, 435

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

Prime Factorization of 397 is 397

Prime Factorization of 538 is 2 x 269

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 435 is 3 x 5 x 29

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(397, 538) = 213586

GCD(397, 538) = ( 397 x 538 ) / 213586

GCD(397, 538) = 213586 / 213586

GCD(397, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 397, 538, 20, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 220, 72, 500
• GCD of 160, 964, 87, 432
• GCD of 104, 956, 80, 775
• GCD of 868, 495, 46, 253
• GCD of 823, 489, 64, 290

1. What is the GCD of 397, 538, 20, 435?

GCD of 397, 538, 20, 435 is 1

2. Where do I get the detailed procedure to find GCD of 397, 538, 20, 435?

You can find a detailed procedure to find GCD of 397, 538, 20, 435 on our page.

3. How to find GCD of 397, 538, 20, 435 on a calculator?

You can find the GCD of 397, 538, 20, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.