GCD of 30, 882, 303, 596 Calculator

Given Input numbers are 30, 882, 303, 596

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 30, 882, 303, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 882, 303, 596 is 1.

Therefore, GCD of numbers 30, 882, 303, 596 is 1

Given Input Data is 30, 882, 303, 596

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 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 303 is 3 x 101

Prime Factorization of 596 is 2 x 2 x 149

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, 882) = 4410

GCD(30, 882) = ( 30 x 882 ) / 4410

GCD(30, 882) = 26460 / 4410

GCD(30, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 303

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

LCM(6, 303) = 606

GCD(6, 303) = ( 6 x 303 ) / 606

GCD(6, 303) = 1818 / 606

GCD(6, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

GCD of 30, 882, 303, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 145, 353, 706
• GCD of 74, 607, 406, 661
• GCD of 32, 633, 982, 599
• GCD of 61, 111, 353, 188
• GCD of 44, 148, 742, 305

1. What is the GCD of 30, 882, 303, 596?

GCD of 30, 882, 303, 596 is 1

2. Where do I get the detailed procedure to find GCD of 30, 882, 303, 596?

You can find a detailed procedure to find GCD of 30, 882, 303, 596 on our page.

3. How to find GCD of 30, 882, 303, 596 on a calculator?

You can find the GCD of 30, 882, 303, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.