GCD of 422, 252, 84, 561 Calculator

Given Input numbers are 422, 252, 84, 561

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

Divisors of 422

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

1, 2, 211, 422

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 422, 252, 84, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 252, 84, 561 is 1.

Therefore, GCD of numbers 422, 252, 84, 561 is 1

Given Input Data is 422, 252, 84, 561

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 561 is 3 x 11 x 17

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(422, 252) = 53172

GCD(422, 252) = ( 422 x 252 ) / 53172

GCD(422, 252) = 106344 / 53172

GCD(422, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

GCD of 422, 252, 84, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 775, 31, 813
• GCD of 712, 210, 27, 229
• GCD of 283, 995, 52, 436
• GCD of 568, 267, 59, 868
• GCD of 366, 804, 51, 401

1. What is the GCD of 422, 252, 84, 561?

GCD of 422, 252, 84, 561 is 1

2. Where do I get the detailed procedure to find GCD of 422, 252, 84, 561?

You can find a detailed procedure to find GCD of 422, 252, 84, 561 on our page.

3. How to find GCD of 422, 252, 84, 561 on a calculator?

You can find the GCD of 422, 252, 84, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.