GCD of 824, 429, 20, 331 Calculator

Given Input numbers are 824, 429, 20, 331

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 824, 429, 20, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 429, 20, 331 is 1.

Therefore, GCD of numbers 824, 429, 20, 331 is 1

Given Input Data is 824, 429, 20, 331

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 331 is 331

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(824, 429) = 353496

GCD(824, 429) = ( 824 x 429 ) / 353496

GCD(824, 429) = 353496 / 353496

GCD(824, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 824, 429, 20, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 315, 52, 693
• GCD of 768, 306, 94, 635
• GCD of 428, 738, 46, 623
• GCD of 362, 529, 55, 147
• GCD of 537, 243, 22, 906

1. What is the GCD of 824, 429, 20, 331?

GCD of 824, 429, 20, 331 is 1

2. Where do I get the detailed procedure to find GCD of 824, 429, 20, 331?

You can find a detailed procedure to find GCD of 824, 429, 20, 331 on our page.

3. How to find GCD of 824, 429, 20, 331 on a calculator?

You can find the GCD of 824, 429, 20, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.