GCD of 390, 269, 56, 824 Calculator

Given Input numbers are 390, 269, 56, 824

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 824

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

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

Greatest Common Divisior

We found the divisors of 390, 269, 56, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 269, 56, 824 is 1.

Therefore, GCD of numbers 390, 269, 56, 824 is 1

Given Input Data is 390, 269, 56, 824

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 269 is 269

Prime Factorization of 56 is 2 x 2 x 2 x 7

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

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(390, 269) = 104910

GCD(390, 269) = ( 390 x 269 ) / 104910

GCD(390, 269) = 104910 / 104910

GCD(390, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 390, 269, 56, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 744, 18, 704
• GCD of 986, 660, 63, 951
• GCD of 207, 460, 40, 551
• GCD of 180, 644, 20, 818
• GCD of 941, 858, 55, 747

1. What is the GCD of 390, 269, 56, 824?

GCD of 390, 269, 56, 824 is 1

2. Where do I get the detailed procedure to find GCD of 390, 269, 56, 824?

You can find a detailed procedure to find GCD of 390, 269, 56, 824 on our page.

3. How to find GCD of 390, 269, 56, 824 on a calculator?

You can find the GCD of 390, 269, 56, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.