GCD of 412, 600, 52, 599 Calculator

Given Input numbers are 412, 600, 52, 599

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 412, 600, 52, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 600, 52, 599 is 1.

Therefore, GCD of numbers 412, 600, 52, 599 is 1

Given Input Data is 412, 600, 52, 599

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 599 is 599

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(412, 600) = 61800

GCD(412, 600) = ( 412 x 600 ) / 61800

GCD(412, 600) = 247200 / 61800

GCD(412, 600) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 599

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

LCM(4, 599) = 2396

GCD(4, 599) = ( 4 x 599 ) / 2396

GCD(4, 599) = 2396 / 2396

GCD(4, 599) = 1

GCD of 412, 600, 52, 599 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 778, 83, 995
• GCD of 638, 123, 72, 264
• GCD of 843, 513, 97, 428
• GCD of 153, 789, 41, 300
• GCD of 348, 172, 33, 618

1. What is the GCD of 412, 600, 52, 599?

GCD of 412, 600, 52, 599 is 1

2. Where do I get the detailed procedure to find GCD of 412, 600, 52, 599?

You can find a detailed procedure to find GCD of 412, 600, 52, 599 on our page.

3. How to find GCD of 412, 600, 52, 599 on a calculator?

You can find the GCD of 412, 600, 52, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.