GCD of 22, 455, 584, 722 Calculator

Given Input numbers are 22, 455, 584, 722

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 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 22, 455, 584, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 455, 584, 722 is 1.

Therefore, GCD of numbers 22, 455, 584, 722 is 1

Given Input Data is 22, 455, 584, 722

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 722 is 2 x 19 x 19

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, 455) = 10010

GCD(22, 455) = ( 22 x 455 ) / 10010

GCD(22, 455) = 10010 / 10010

GCD(22, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 22, 455, 584, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 787, 995, 973
• GCD of 19, 523, 493, 797
• GCD of 73, 983, 617, 214
• GCD of 84, 279, 243, 674
• GCD of 63, 796, 793, 442

1. What is the GCD of 22, 455, 584, 722?

GCD of 22, 455, 584, 722 is 1

2. Where do I get the detailed procedure to find GCD of 22, 455, 584, 722?

You can find a detailed procedure to find GCD of 22, 455, 584, 722 on our page.

3. How to find GCD of 22, 455, 584, 722 on a calculator?

You can find the GCD of 22, 455, 584, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.