GCD of 30, 356, 905, 799 Calculator

Given Input numbers are 30, 356, 905, 799

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 30, 356, 905, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 356, 905, 799 is 1.

Therefore, GCD of numbers 30, 356, 905, 799 is 1

Given Input Data is 30, 356, 905, 799

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 905 is 5 x 181

Prime Factorization of 799 is 17 x 47

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(30, 356) = 5340

GCD(30, 356) = ( 30 x 356 ) / 5340

GCD(30, 356) = 10680 / 5340

GCD(30, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 30, 356, 905, 799 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 137, 121, 839
• GCD of 17, 501, 557, 254
• GCD of 65, 655, 905, 898
• GCD of 17, 248, 703, 984
• GCD of 37, 706, 222, 108

1. What is the GCD of 30, 356, 905, 799?

GCD of 30, 356, 905, 799 is 1

2. Where do I get the detailed procedure to find GCD of 30, 356, 905, 799?

You can find a detailed procedure to find GCD of 30, 356, 905, 799 on our page.

3. How to find GCD of 30, 356, 905, 799 on a calculator?

You can find the GCD of 30, 356, 905, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.