GCD of 772, 256, 22, 491 Calculator

Given Input numbers are 772, 256, 22, 491

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 772, 256, 22, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 256, 22, 491 is 1.

Therefore, GCD of numbers 772, 256, 22, 491 is 1

Given Input Data is 772, 256, 22, 491

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

Prime Factorization of 772 is 2 x 2 x 193

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 491 is 491

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(772, 256) = 49408

GCD(772, 256) = ( 772 x 256 ) / 49408

GCD(772, 256) = 197632 / 49408

GCD(772, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 772, 256, 22, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 651, 97, 125
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1. What is the GCD of 772, 256, 22, 491?

GCD of 772, 256, 22, 491 is 1

2. Where do I get the detailed procedure to find GCD of 772, 256, 22, 491?

You can find a detailed procedure to find GCD of 772, 256, 22, 491 on our page.

3. How to find GCD of 772, 256, 22, 491 on a calculator?

You can find the GCD of 772, 256, 22, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.