GCD of 22, 309, 730, 695 Calculator

Given Input numbers are 22, 309, 730, 695

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 22, 309, 730, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 309, 730, 695 is 1.

Therefore, GCD of numbers 22, 309, 730, 695 is 1

Given Input Data is 22, 309, 730, 695

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 309 is 3 x 103

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 695 is 5 x 139

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, 309) = 6798

GCD(22, 309) = ( 22 x 309 ) / 6798

GCD(22, 309) = 6798 / 6798

GCD(22, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 22, 309, 730, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 725, 720, 507
• GCD of 29, 189, 757, 279
• GCD of 34, 240, 712, 915
• GCD of 74, 901, 954, 240
• GCD of 76, 930, 607, 230

1. What is the GCD of 22, 309, 730, 695?

GCD of 22, 309, 730, 695 is 1

2. Where do I get the detailed procedure to find GCD of 22, 309, 730, 695?

You can find a detailed procedure to find GCD of 22, 309, 730, 695 on our page.

3. How to find GCD of 22, 309, 730, 695 on a calculator?

You can find the GCD of 22, 309, 730, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.