GCD of 213, 359, 353, 474 Calculator

Given Input numbers are 213, 359, 353, 474

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 359

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

1, 359

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 213, 359, 353, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 359, 353, 474 is 1.

Therefore, GCD of numbers 213, 359, 353, 474 is 1

Given Input Data is 213, 359, 353, 474

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 359 is 359

Prime Factorization of 353 is 353

Prime Factorization of 474 is 2 x 3 x 79

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(213, 359) = 76467

GCD(213, 359) = ( 213 x 359 ) / 76467

GCD(213, 359) = 76467 / 76467

GCD(213, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 213, 359, 353, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 832, 230, 933
• GCD of 999, 508, 731, 561
• GCD of 149, 895, 283, 536
• GCD of 299, 157, 372, 795
• GCD of 978, 820, 572, 867

1. What is the GCD of 213, 359, 353, 474?

GCD of 213, 359, 353, 474 is 1

2. Where do I get the detailed procedure to find GCD of 213, 359, 353, 474?

You can find a detailed procedure to find GCD of 213, 359, 353, 474 on our page.

3. How to find GCD of 213, 359, 353, 474 on a calculator?

You can find the GCD of 213, 359, 353, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.