GCD of 101, 213, 38, 590 Calculator

Given Input numbers are 101, 213, 38, 590

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 213

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

1, 3, 71, 213

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 101, 213, 38, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 213, 38, 590 is 1.

Therefore, GCD of numbers 101, 213, 38, 590 is 1

Given Input Data is 101, 213, 38, 590

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

Prime Factorization of 101 is 101

Prime Factorization of 213 is 3 x 71

Prime Factorization of 38 is 2 x 19

Prime Factorization of 590 is 2 x 5 x 59

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(101, 213) = 21513

GCD(101, 213) = ( 101 x 213 ) / 21513

GCD(101, 213) = 21513 / 21513

GCD(101, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 101, 213, 38, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 455, 46, 458
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1. What is the GCD of 101, 213, 38, 590?

GCD of 101, 213, 38, 590 is 1

2. Where do I get the detailed procedure to find GCD of 101, 213, 38, 590?

You can find a detailed procedure to find GCD of 101, 213, 38, 590 on our page.

3. How to find GCD of 101, 213, 38, 590 on a calculator?

You can find the GCD of 101, 213, 38, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.