GCD of 504, 309, 50, 397 Calculator

Given Input numbers are 504, 309, 50, 397

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 504, 309, 50, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 309, 50, 397 is 1.

Therefore, GCD of numbers 504, 309, 50, 397 is 1

Given Input Data is 504, 309, 50, 397

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 397 is 397

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(504, 309) = 51912

GCD(504, 309) = ( 504 x 309 ) / 51912

GCD(504, 309) = 155736 / 51912

GCD(504, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 504, 309, 50, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 156, 59, 139
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• GCD of 502, 343, 11, 190
• GCD of 680, 226, 93, 463
• GCD of 178, 523, 87, 789

1. What is the GCD of 504, 309, 50, 397?

GCD of 504, 309, 50, 397 is 1

2. Where do I get the detailed procedure to find GCD of 504, 309, 50, 397?

You can find a detailed procedure to find GCD of 504, 309, 50, 397 on our page.

3. How to find GCD of 504, 309, 50, 397 on a calculator?

You can find the GCD of 504, 309, 50, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.