GCD of 365, 589, 208, 930 Calculator

Given Input numbers are 365, 589, 208, 930

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 365, 589, 208, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 589, 208, 930 is 1.

Therefore, GCD of numbers 365, 589, 208, 930 is 1

Given Input Data is 365, 589, 208, 930

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 589 is 19 x 31

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(365, 589) = 214985

GCD(365, 589) = ( 365 x 589 ) / 214985

GCD(365, 589) = 214985 / 214985

GCD(365, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 365, 589, 208, 930 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 437, 141, 404
• GCD of 974, 677, 702, 133
• GCD of 927, 531, 610, 591
• GCD of 392, 792, 818, 788
• GCD of 904, 563, 158, 482

1. What is the GCD of 365, 589, 208, 930?

GCD of 365, 589, 208, 930 is 1

2. Where do I get the detailed procedure to find GCD of 365, 589, 208, 930?

You can find a detailed procedure to find GCD of 365, 589, 208, 930 on our page.

3. How to find GCD of 365, 589, 208, 930 on a calculator?

You can find the GCD of 365, 589, 208, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.