GCD of 656, 355, 42, 580 Calculator

Given Input numbers are 656, 355, 42, 580

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 355

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

1, 5, 71, 355

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 656, 355, 42, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 355, 42, 580 is 1.

Therefore, GCD of numbers 656, 355, 42, 580 is 1

Given Input Data is 656, 355, 42, 580

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 355 is 5 x 71

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(656, 355) = 232880

GCD(656, 355) = ( 656 x 355 ) / 232880

GCD(656, 355) = 232880 / 232880

GCD(656, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 656, 355, 42, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 231, 59, 392
• GCD of 792, 183, 18, 907
• GCD of 413, 415, 31, 405
• GCD of 576, 409, 94, 486
• GCD of 757, 261, 22, 600

1. What is the GCD of 656, 355, 42, 580?

GCD of 656, 355, 42, 580 is 1

2. Where do I get the detailed procedure to find GCD of 656, 355, 42, 580?

You can find a detailed procedure to find GCD of 656, 355, 42, 580 on our page.

3. How to find GCD of 656, 355, 42, 580 on a calculator?

You can find the GCD of 656, 355, 42, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.