GCD of 462, 355, 590, 556 Calculator

Given Input numbers are 462, 355, 590, 556

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 590

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

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 462, 355, 590, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 355, 590, 556 is 1.

Therefore, GCD of numbers 462, 355, 590, 556 is 1

Given Input Data is 462, 355, 590, 556

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 355 is 5 x 71

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 556 is 2 x 2 x 139

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(462, 355) = 164010

GCD(462, 355) = ( 462 x 355 ) / 164010

GCD(462, 355) = 164010 / 164010

GCD(462, 355) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 462, 355, 590, 556 is 1

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1. What is the GCD of 462, 355, 590, 556?

GCD of 462, 355, 590, 556 is 1

2. Where do I get the detailed procedure to find GCD of 462, 355, 590, 556?

You can find a detailed procedure to find GCD of 462, 355, 590, 556 on our page.

3. How to find GCD of 462, 355, 590, 556 on a calculator?

You can find the GCD of 462, 355, 590, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.