GCD of 355, 920, 56, 322 Calculator

Given Input numbers are 355, 920, 56, 322

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 355, 920, 56, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 920, 56, 322 is 1.

Therefore, GCD of numbers 355, 920, 56, 322 is 1

Given Input Data is 355, 920, 56, 322

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 322 is 2 x 7 x 23

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(355, 920) = 65320

GCD(355, 920) = ( 355 x 920 ) / 65320

GCD(355, 920) = 326600 / 65320

GCD(355, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 355, 920, 56, 322 is 1

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• GCD of 426, 840, 69, 631
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• GCD of 445, 723, 67, 124

1. What is the GCD of 355, 920, 56, 322?

GCD of 355, 920, 56, 322 is 1

2. Where do I get the detailed procedure to find GCD of 355, 920, 56, 322?

You can find a detailed procedure to find GCD of 355, 920, 56, 322 on our page.

3. How to find GCD of 355, 920, 56, 322 on a calculator?

You can find the GCD of 355, 920, 56, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.