GCD of 217, 561, 73, 596 Calculator

Given Input numbers are 217, 561, 73, 596

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 217, 561, 73, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 561, 73, 596 is 1.

Therefore, GCD of numbers 217, 561, 73, 596 is 1

Given Input Data is 217, 561, 73, 596

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 73 is 73

Prime Factorization of 596 is 2 x 2 x 149

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(217, 561) = 121737

GCD(217, 561) = ( 217 x 561 ) / 121737

GCD(217, 561) = 121737 / 121737

GCD(217, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 217, 561, 73, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 808, 13, 115
• GCD of 419, 304, 78, 541
• GCD of 143, 188, 32, 383
• GCD of 334, 865, 92, 170
• GCD of 685, 335, 68, 209

1. What is the GCD of 217, 561, 73, 596?

GCD of 217, 561, 73, 596 is 1

2. Where do I get the detailed procedure to find GCD of 217, 561, 73, 596?

You can find a detailed procedure to find GCD of 217, 561, 73, 596 on our page.

3. How to find GCD of 217, 561, 73, 596 on a calculator?

You can find the GCD of 217, 561, 73, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.