GCD of 581, 422, 74, 213 Calculator

Given Input numbers are 581, 422, 74, 213

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

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 581, 422, 74, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 422, 74, 213 is 1.

Therefore, GCD of numbers 581, 422, 74, 213 is 1

Given Input Data is 581, 422, 74, 213

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

Prime Factorization of 581 is 7 x 83

Prime Factorization of 422 is 2 x 211

Prime Factorization of 74 is 2 x 37

Prime Factorization of 213 is 3 x 71

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(581, 422) = 245182

GCD(581, 422) = ( 581 x 422 ) / 245182

GCD(581, 422) = 245182 / 245182

GCD(581, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 581, 422, 74, 213 is 1

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1. What is the GCD of 581, 422, 74, 213?

GCD of 581, 422, 74, 213 is 1

2. Where do I get the detailed procedure to find GCD of 581, 422, 74, 213?

You can find a detailed procedure to find GCD of 581, 422, 74, 213 on our page.

3. How to find GCD of 581, 422, 74, 213 on a calculator?

You can find the GCD of 581, 422, 74, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.