GCD of 406, 515, 628, 200 Calculator

Given Input numbers are 406, 515, 628, 200

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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

Greatest Common Divisior

We found the divisors of 406, 515, 628, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 515, 628, 200 is 1.

Therefore, GCD of numbers 406, 515, 628, 200 is 1

Given Input Data is 406, 515, 628, 200

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 515 is 5 x 103

Prime Factorization of 628 is 2 x 2 x 157

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

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(406, 515) = 209090

GCD(406, 515) = ( 406 x 515 ) / 209090

GCD(406, 515) = 209090 / 209090

GCD(406, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 406, 515, 628, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 140, 335, 410
• GCD of 202, 546, 563, 886
• GCD of 309, 629, 163, 306
• GCD of 486, 252, 887, 419
• GCD of 511, 536, 826, 420

1. What is the GCD of 406, 515, 628, 200?

GCD of 406, 515, 628, 200 is 1

2. Where do I get the detailed procedure to find GCD of 406, 515, 628, 200?

You can find a detailed procedure to find GCD of 406, 515, 628, 200 on our page.

3. How to find GCD of 406, 515, 628, 200 on a calculator?

You can find the GCD of 406, 515, 628, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.