GCD of 509, 398, 556, 312 Calculator

Given Input numbers are 509, 398, 556, 312

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

Divisors of 509

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

1, 509

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 509, 398, 556, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 398, 556, 312 is 1.

Therefore, GCD of numbers 509, 398, 556, 312 is 1

Given Input Data is 509, 398, 556, 312

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

Prime Factorization of 509 is 509

Prime Factorization of 398 is 2 x 199

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(509, 398) = 202582

GCD(509, 398) = ( 509 x 398 ) / 202582

GCD(509, 398) = 202582 / 202582

GCD(509, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 509, 398, 556, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 959, 901, 992
• GCD of 929, 791, 523, 860
• GCD of 376, 517, 392, 499
• GCD of 724, 107, 883, 964
• GCD of 688, 117, 947, 777

1. What is the GCD of 509, 398, 556, 312?

GCD of 509, 398, 556, 312 is 1

2. Where do I get the detailed procedure to find GCD of 509, 398, 556, 312?

You can find a detailed procedure to find GCD of 509, 398, 556, 312 on our page.

3. How to find GCD of 509, 398, 556, 312 on a calculator?

You can find the GCD of 509, 398, 556, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.