GCD of 237, 828, 36, 256 Calculator

Given Input numbers are 237, 828, 36, 256

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 237, 828, 36, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 828, 36, 256 is 1.

Therefore, GCD of numbers 237, 828, 36, 256 is 1

Given Input Data is 237, 828, 36, 256

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(237, 828) = 65412

GCD(237, 828) = ( 237 x 828 ) / 65412

GCD(237, 828) = 196236 / 65412

GCD(237, 828) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 256

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

LCM(3, 256) = 768

GCD(3, 256) = ( 3 x 256 ) / 768

GCD(3, 256) = 768 / 768

GCD(3, 256) = 1

GCD of 237, 828, 36, 256 is 1

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1. What is the GCD of 237, 828, 36, 256?

GCD of 237, 828, 36, 256 is 1

2. Where do I get the detailed procedure to find GCD of 237, 828, 36, 256?

You can find a detailed procedure to find GCD of 237, 828, 36, 256 on our page.

3. How to find GCD of 237, 828, 36, 256 on a calculator?

You can find the GCD of 237, 828, 36, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.