GCD of 803, 213, 20, 578 Calculator

Given Input numbers are 803, 213, 20, 578

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 803, 213, 20, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 213, 20, 578 is 1.

Therefore, GCD of numbers 803, 213, 20, 578 is 1

Given Input Data is 803, 213, 20, 578

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 213 is 3 x 71

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 578 is 2 x 17 x 17

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(803, 213) = 171039

GCD(803, 213) = ( 803 x 213 ) / 171039

GCD(803, 213) = 171039 / 171039

GCD(803, 213) = 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 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 803, 213, 20, 578 is 1

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1. What is the GCD of 803, 213, 20, 578?

GCD of 803, 213, 20, 578 is 1

2. Where do I get the detailed procedure to find GCD of 803, 213, 20, 578?

You can find a detailed procedure to find GCD of 803, 213, 20, 578 on our page.

3. How to find GCD of 803, 213, 20, 578 on a calculator?

You can find the GCD of 803, 213, 20, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.