GCD of 355, 820, 24, 389 Calculator

Given Input numbers are 355, 820, 24, 389

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 355, 820, 24, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 820, 24, 389 is 1.

Therefore, GCD of numbers 355, 820, 24, 389 is 1

Given Input Data is 355, 820, 24, 389

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

Prime Factorization of 355 is 5 x 71

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 389 is 389

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(355, 820) = 58220

GCD(355, 820) = ( 355 x 820 ) / 58220

GCD(355, 820) = 291100 / 58220

GCD(355, 820) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 24

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

LCM(5, 24) = 120

GCD(5, 24) = ( 5 x 24 ) / 120

GCD(5, 24) = 120 / 120

GCD(5, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 355, 820, 24, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 625, 40, 136
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• GCD of 154, 259, 50, 704
• GCD of 146, 306, 75, 915
• GCD of 562, 689, 38, 985

1. What is the GCD of 355, 820, 24, 389?

GCD of 355, 820, 24, 389 is 1

2. Where do I get the detailed procedure to find GCD of 355, 820, 24, 389?

You can find a detailed procedure to find GCD of 355, 820, 24, 389 on our page.

3. How to find GCD of 355, 820, 24, 389 on a calculator?

You can find the GCD of 355, 820, 24, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.