GCD of 513, 974, 300, 422 Calculator

Given Input numbers are 513, 974, 300, 422

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 513, 974, 300, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 974, 300, 422 is 1.

Therefore, GCD of numbers 513, 974, 300, 422 is 1

Given Input Data is 513, 974, 300, 422

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 974 is 2 x 487

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 422 is 2 x 211

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, 974) = 499662

GCD(513, 974) = ( 513 x 974 ) / 499662

GCD(513, 974) = 499662 / 499662

GCD(513, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 513, 974, 300, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 699, 527, 193
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• GCD of 205, 189, 522, 752

1. What is the GCD of 513, 974, 300, 422?

GCD of 513, 974, 300, 422 is 1

2. Where do I get the detailed procedure to find GCD of 513, 974, 300, 422?

You can find a detailed procedure to find GCD of 513, 974, 300, 422 on our page.

3. How to find GCD of 513, 974, 300, 422 on a calculator?

You can find the GCD of 513, 974, 300, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.