GCD of 200, 506, 621, 850 Calculator

Given Input numbers are 200, 506, 621, 850

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 200, 506, 621, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 506, 621, 850 is 1.

Therefore, GCD of numbers 200, 506, 621, 850 is 1

Given Input Data is 200, 506, 621, 850

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(200, 506) = 50600

GCD(200, 506) = ( 200 x 506 ) / 50600

GCD(200, 506) = 101200 / 50600

GCD(200, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 621

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

LCM(2, 621) = 1242

GCD(2, 621) = ( 2 x 621 ) / 1242

GCD(2, 621) = 1242 / 1242

GCD(2, 621) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 200, 506, 621, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 569, 501, 663
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• GCD of 152, 992, 127, 393
• GCD of 572, 966, 531, 831

1. What is the GCD of 200, 506, 621, 850?

GCD of 200, 506, 621, 850 is 1

2. Where do I get the detailed procedure to find GCD of 200, 506, 621, 850?

You can find a detailed procedure to find GCD of 200, 506, 621, 850 on our page.

3. How to find GCD of 200, 506, 621, 850 on a calculator?

You can find the GCD of 200, 506, 621, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.