GCD of 820, 186, 71, 324 Calculator

Given Input numbers are 820, 186, 71, 324

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 820, 186, 71, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 186, 71, 324 is 1.

Therefore, GCD of numbers 820, 186, 71, 324 is 1

Given Input Data is 820, 186, 71, 324

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 186 is 2 x 3 x 31

Prime Factorization of 71 is 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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, 186) = 76260

GCD(820, 186) = ( 820 x 186 ) / 76260

GCD(820, 186) = 152520 / 76260

GCD(820, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 820, 186, 71, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 484, 77, 621
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• GCD of 614, 479, 31, 864
• GCD of 468, 125, 74, 887
• GCD of 462, 743, 38, 386

1. What is the GCD of 820, 186, 71, 324?

GCD of 820, 186, 71, 324 is 1

2. Where do I get the detailed procedure to find GCD of 820, 186, 71, 324?

You can find a detailed procedure to find GCD of 820, 186, 71, 324 on our page.

3. How to find GCD of 820, 186, 71, 324 on a calculator?

You can find the GCD of 820, 186, 71, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.