GCD of 36, 899, 424, 362 Calculator

Given Input numbers are 36, 899, 424, 362

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 36, 899, 424, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 899, 424, 362 is 1.

Therefore, GCD of numbers 36, 899, 424, 362 is 1

Given Input Data is 36, 899, 424, 362

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 899 is 29 x 31

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 362 is 2 x 181

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, 899) = 32364

GCD(36, 899) = ( 36 x 899 ) / 32364

GCD(36, 899) = 32364 / 32364

GCD(36, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 36, 899, 424, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 808, 800, 882
• GCD of 67, 473, 194, 314
• GCD of 79, 258, 900, 437
• GCD of 73, 561, 459, 803
• GCD of 65, 537, 731, 381

1. What is the GCD of 36, 899, 424, 362?

GCD of 36, 899, 424, 362 is 1

2. Where do I get the detailed procedure to find GCD of 36, 899, 424, 362?

You can find a detailed procedure to find GCD of 36, 899, 424, 362 on our page.

3. How to find GCD of 36, 899, 424, 362 on a calculator?

You can find the GCD of 36, 899, 424, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.