GCD of 36, 642, 413, 867 Calculator

Given Input numbers are 36, 642, 413, 867

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 36, 642, 413, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 642, 413, 867 is 1.

Therefore, GCD of numbers 36, 642, 413, 867 is 1

Given Input Data is 36, 642, 413, 867

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 413 is 7 x 59

Prime Factorization of 867 is 3 x 17 x 17

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(36, 642) = 3852

GCD(36, 642) = ( 36 x 642 ) / 3852

GCD(36, 642) = 23112 / 3852

GCD(36, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 413

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

LCM(6, 413) = 2478

GCD(6, 413) = ( 6 x 413 ) / 2478

GCD(6, 413) = 2478 / 2478

GCD(6, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 36, 642, 413, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 865, 105, 400
• GCD of 99, 862, 905, 773
• GCD of 19, 732, 628, 899
• GCD of 28, 878, 251, 855
• GCD of 25, 932, 491, 900

1. What is the GCD of 36, 642, 413, 867?

GCD of 36, 642, 413, 867 is 1

2. Where do I get the detailed procedure to find GCD of 36, 642, 413, 867?

You can find a detailed procedure to find GCD of 36, 642, 413, 867 on our page.

3. How to find GCD of 36, 642, 413, 867 on a calculator?

You can find the GCD of 36, 642, 413, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.