GCD of 820, 825, 30, 229 Calculator

Given Input numbers are 820, 825, 30, 229

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 820, 825, 30, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 825, 30, 229 is 1.

Therefore, GCD of numbers 820, 825, 30, 229 is 1

Given Input Data is 820, 825, 30, 229

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 229 is 229

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(820, 825) = 135300

GCD(820, 825) = ( 820 x 825 ) / 135300

GCD(820, 825) = 676500 / 135300

GCD(820, 825) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 30

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

LCM(5, 30) = 30

GCD(5, 30) = ( 5 x 30 ) / 30

GCD(5, 30) = 150 / 30

GCD(5, 30) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 229

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

LCM(5, 229) = 1145

GCD(5, 229) = ( 5 x 229 ) / 1145

GCD(5, 229) = 1145 / 1145

GCD(5, 229) = 1

GCD of 820, 825, 30, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 801, 98, 430
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• GCD of 745, 476, 65, 184

1. What is the GCD of 820, 825, 30, 229?

GCD of 820, 825, 30, 229 is 1

2. Where do I get the detailed procedure to find GCD of 820, 825, 30, 229?

You can find a detailed procedure to find GCD of 820, 825, 30, 229 on our page.

3. How to find GCD of 820, 825, 30, 229 on a calculator?

You can find the GCD of 820, 825, 30, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.