GCD of 564, 106, 591, 359 Calculator

Given Input numbers are 564, 106, 591, 359

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 359

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

1, 359

Greatest Common Divisior

We found the divisors of 564, 106, 591, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 106, 591, 359 is 1.

Therefore, GCD of numbers 564, 106, 591, 359 is 1

Given Input Data is 564, 106, 591, 359

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 106 is 2 x 53

Prime Factorization of 591 is 3 x 197

Prime Factorization of 359 is 359

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(564, 106) = 29892

GCD(564, 106) = ( 564 x 106 ) / 29892

GCD(564, 106) = 59784 / 29892

GCD(564, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 564, 106, 591, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 824, 496, 491
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• GCD of 877, 881, 456, 894
• GCD of 656, 536, 286, 593
• GCD of 249, 256, 317, 470

1. What is the GCD of 564, 106, 591, 359?

GCD of 564, 106, 591, 359 is 1

2. Where do I get the detailed procedure to find GCD of 564, 106, 591, 359?

You can find a detailed procedure to find GCD of 564, 106, 591, 359 on our page.

3. How to find GCD of 564, 106, 591, 359 on a calculator?

You can find the GCD of 564, 106, 591, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.