GCD of 22, 179, 789, 505 Calculator

Given Input numbers are 22, 179, 789, 505

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 22, 179, 789, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 179, 789, 505 is 1.

Therefore, GCD of numbers 22, 179, 789, 505 is 1

Given Input Data is 22, 179, 789, 505

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 179 is 179

Prime Factorization of 789 is 3 x 263

Prime Factorization of 505 is 5 x 101

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(22, 179) = 3938

GCD(22, 179) = ( 22 x 179 ) / 3938

GCD(22, 179) = 3938 / 3938

GCD(22, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 22, 179, 789, 505 is 1

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1. What is the GCD of 22, 179, 789, 505?

GCD of 22, 179, 789, 505 is 1

2. Where do I get the detailed procedure to find GCD of 22, 179, 789, 505?

You can find a detailed procedure to find GCD of 22, 179, 789, 505 on our page.

3. How to find GCD of 22, 179, 789, 505 on a calculator?

You can find the GCD of 22, 179, 789, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.