GCD of 369, 156, 28, 509 Calculator

Given Input numbers are 369, 156, 28, 509

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 369, 156, 28, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 156, 28, 509 is 1.

Therefore, GCD of numbers 369, 156, 28, 509 is 1

Given Input Data is 369, 156, 28, 509

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 509 is 509

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(369, 156) = 19188

GCD(369, 156) = ( 369 x 156 ) / 19188

GCD(369, 156) = 57564 / 19188

GCD(369, 156) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 369, 156, 28, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 480, 20, 987
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• GCD of 593, 303, 38, 155
• GCD of 954, 906, 15, 109

1. What is the GCD of 369, 156, 28, 509?

GCD of 369, 156, 28, 509 is 1

2. Where do I get the detailed procedure to find GCD of 369, 156, 28, 509?

You can find a detailed procedure to find GCD of 369, 156, 28, 509 on our page.

3. How to find GCD of 369, 156, 28, 509 on a calculator?

You can find the GCD of 369, 156, 28, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.