GCD of 797, 656, 261, 422 Calculator

Given Input numbers are 797, 656, 261, 422

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

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 797, 656, 261, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 656, 261, 422 is 1.

Therefore, GCD of numbers 797, 656, 261, 422 is 1

Given Input Data is 797, 656, 261, 422

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

Prime Factorization of 797 is 797

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 422 is 2 x 211

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(797, 656) = 522832

GCD(797, 656) = ( 797 x 656 ) / 522832

GCD(797, 656) = 522832 / 522832

GCD(797, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 797, 656, 261, 422 is 1

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1. What is the GCD of 797, 656, 261, 422?

GCD of 797, 656, 261, 422 is 1

2. Where do I get the detailed procedure to find GCD of 797, 656, 261, 422?

You can find a detailed procedure to find GCD of 797, 656, 261, 422 on our page.

3. How to find GCD of 797, 656, 261, 422 on a calculator?

You can find the GCD of 797, 656, 261, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.