GCD of 256, 201, 826, 796 Calculator

Given Input numbers are 256, 201, 826, 796

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

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 256, 201, 826, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 201, 826, 796 is 1.

Therefore, GCD of numbers 256, 201, 826, 796 is 1

Given Input Data is 256, 201, 826, 796

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

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 796 is 2 x 2 x 199

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(256, 201) = 51456

GCD(256, 201) = ( 256 x 201 ) / 51456

GCD(256, 201) = 51456 / 51456

GCD(256, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 256, 201, 826, 796 is 1

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1. What is the GCD of 256, 201, 826, 796?

GCD of 256, 201, 826, 796 is 1

2. Where do I get the detailed procedure to find GCD of 256, 201, 826, 796?

You can find a detailed procedure to find GCD of 256, 201, 826, 796 on our page.

3. How to find GCD of 256, 201, 826, 796 on a calculator?

You can find the GCD of 256, 201, 826, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.