GCD of 22, 629, 200, 193 Calculator

Given Input numbers are 22, 629, 200, 193

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 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 22, 629, 200, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 629, 200, 193 is 1.

Therefore, GCD of numbers 22, 629, 200, 193 is 1

Given Input Data is 22, 629, 200, 193

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 629 is 17 x 37

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 193 is 193

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, 629) = 13838

GCD(22, 629) = ( 22 x 629 ) / 13838

GCD(22, 629) = 13838 / 13838

GCD(22, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 22, 629, 200, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 594, 650, 549
• GCD of 74, 843, 142, 869
• GCD of 34, 449, 539, 134
• GCD of 79, 209, 200, 805
• GCD of 14, 559, 452, 159

1. What is the GCD of 22, 629, 200, 193?

GCD of 22, 629, 200, 193 is 1

2. Where do I get the detailed procedure to find GCD of 22, 629, 200, 193?

You can find a detailed procedure to find GCD of 22, 629, 200, 193 on our page.

3. How to find GCD of 22, 629, 200, 193 on a calculator?

You can find the GCD of 22, 629, 200, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.