GCD of 421, 563, 54, 475 Calculator

Given Input numbers are 421, 563, 54, 475

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 421, 563, 54, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 563, 54, 475 is 1.

Therefore, GCD of numbers 421, 563, 54, 475 is 1

Given Input Data is 421, 563, 54, 475

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

Prime Factorization of 421 is 421

Prime Factorization of 563 is 563

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(421, 563) = 237023

GCD(421, 563) = ( 421 x 563 ) / 237023

GCD(421, 563) = 237023 / 237023

GCD(421, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 421, 563, 54, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 129, 53, 970
• GCD of 456, 145, 95, 160
• GCD of 866, 121, 97, 315
• GCD of 159, 355, 16, 478
• GCD of 761, 834, 22, 165

1. What is the GCD of 421, 563, 54, 475?

GCD of 421, 563, 54, 475 is 1

2. Where do I get the detailed procedure to find GCD of 421, 563, 54, 475?

You can find a detailed procedure to find GCD of 421, 563, 54, 475 on our page.

3. How to find GCD of 421, 563, 54, 475 on a calculator?

You can find the GCD of 421, 563, 54, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.