GCD of 390, 738, 20, 869 Calculator

Given Input numbers are 390, 738, 20, 869

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 390, 738, 20, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 738, 20, 869 is 1.

Therefore, GCD of numbers 390, 738, 20, 869 is 1

Given Input Data is 390, 738, 20, 869

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 869 is 11 x 79

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, 738) = 47970

GCD(390, 738) = ( 390 x 738 ) / 47970

GCD(390, 738) = 287820 / 47970

GCD(390, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 390, 738, 20, 869 is 1

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• GCD of 315, 229, 83, 449
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• GCD of 738, 704, 37, 652

1. What is the GCD of 390, 738, 20, 869?

GCD of 390, 738, 20, 869 is 1

2. Where do I get the detailed procedure to find GCD of 390, 738, 20, 869?

You can find a detailed procedure to find GCD of 390, 738, 20, 869 on our page.

3. How to find GCD of 390, 738, 20, 869 on a calculator?

You can find the GCD of 390, 738, 20, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.