GCD of 513, 940, 30, 367 Calculator

Given Input numbers are 513, 940, 30, 367

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 513, 940, 30, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 940, 30, 367 is 1.

Therefore, GCD of numbers 513, 940, 30, 367 is 1

Given Input Data is 513, 940, 30, 367

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 367 is 367

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(513, 940) = 482220

GCD(513, 940) = ( 513 x 940 ) / 482220

GCD(513, 940) = 482220 / 482220

GCD(513, 940) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 513, 940, 30, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 782, 84, 500
• GCD of 114, 900, 78, 840
• GCD of 554, 650, 91, 380
• GCD of 929, 589, 18, 547
• GCD of 395, 829, 57, 326

1. What is the GCD of 513, 940, 30, 367?

GCD of 513, 940, 30, 367 is 1

2. Where do I get the detailed procedure to find GCD of 513, 940, 30, 367?

You can find a detailed procedure to find GCD of 513, 940, 30, 367 on our page.

3. How to find GCD of 513, 940, 30, 367 on a calculator?

You can find the GCD of 513, 940, 30, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.