GCD of 31, 219, 261, 730 Calculator

Given Input numbers are 31, 219, 261, 730

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 730

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

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

Greatest Common Divisior

We found the divisors of 31, 219, 261, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 219, 261, 730 is 1.

Therefore, GCD of numbers 31, 219, 261, 730 is 1

Given Input Data is 31, 219, 261, 730

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

Prime Factorization of 31 is 31

Prime Factorization of 219 is 3 x 73

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 730 is 2 x 5 x 73

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(31, 219) = 6789

GCD(31, 219) = ( 31 x 219 ) / 6789

GCD(31, 219) = 6789 / 6789

GCD(31, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

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

GCD of 31, 219, 261, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 256, 299, 400
• GCD of 95, 158, 966, 319
• GCD of 76, 644, 234, 798
• GCD of 31, 412, 509, 211
• GCD of 69, 877, 458, 100

1. What is the GCD of 31, 219, 261, 730?

GCD of 31, 219, 261, 730 is 1

2. Where do I get the detailed procedure to find GCD of 31, 219, 261, 730?

You can find a detailed procedure to find GCD of 31, 219, 261, 730 on our page.

3. How to find GCD of 31, 219, 261, 730 on a calculator?

You can find the GCD of 31, 219, 261, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.