GCD of 216, 936, 859, 409 Calculator

Given Input numbers are 216, 936, 859, 409

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 216, 936, 859, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 936, 859, 409 is 1.

Therefore, GCD of numbers 216, 936, 859, 409 is 1

Given Input Data is 216, 936, 859, 409

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 859 is 859

Prime Factorization of 409 is 409

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(216, 936) = 2808

GCD(216, 936) = ( 216 x 936 ) / 2808

GCD(216, 936) = 202176 / 2808

GCD(216, 936) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 859

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

LCM(72, 859) = 61848

GCD(72, 859) = ( 72 x 859 ) / 61848

GCD(72, 859) = 61848 / 61848

GCD(72, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 216, 936, 859, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 149, 332, 880
• GCD of 465, 756, 523, 926
• GCD of 700, 513, 473, 796
• GCD of 410, 139, 849, 802
• GCD of 856, 209, 749, 754

1. What is the GCD of 216, 936, 859, 409?

GCD of 216, 936, 859, 409 is 1

2. Where do I get the detailed procedure to find GCD of 216, 936, 859, 409?

You can find a detailed procedure to find GCD of 216, 936, 859, 409 on our page.

3. How to find GCD of 216, 936, 859, 409 on a calculator?

You can find the GCD of 216, 936, 859, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.