GCD of 427, 359, 20, 473 Calculator

Given Input numbers are 427, 359, 20, 473

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 427, 359, 20, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 359, 20, 473 is 1.

Therefore, GCD of numbers 427, 359, 20, 473 is 1

Given Input Data is 427, 359, 20, 473

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 359 is 359

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 473 is 11 x 43

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(427, 359) = 153293

GCD(427, 359) = ( 427 x 359 ) / 153293

GCD(427, 359) = 153293 / 153293

GCD(427, 359) = 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 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 427, 359, 20, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 231, 69, 762
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• GCD of 614, 284, 15, 376
• GCD of 167, 405, 13, 871
• GCD of 853, 993, 11, 773

1. What is the GCD of 427, 359, 20, 473?

GCD of 427, 359, 20, 473 is 1

2. Where do I get the detailed procedure to find GCD of 427, 359, 20, 473?

You can find a detailed procedure to find GCD of 427, 359, 20, 473 on our page.

3. How to find GCD of 427, 359, 20, 473 on a calculator?

You can find the GCD of 427, 359, 20, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.