GCD of 125, 204, 438, 406 Calculator

Given Input numbers are 125, 204, 438, 406

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 125, 204, 438, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 204, 438, 406 is 1.

Therefore, GCD of numbers 125, 204, 438, 406 is 1

Given Input Data is 125, 204, 438, 406

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 406 is 2 x 7 x 29

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(125, 204) = 25500

GCD(125, 204) = ( 125 x 204 ) / 25500

GCD(125, 204) = 25500 / 25500

GCD(125, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 125, 204, 438, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 558, 799, 561
• GCD of 846, 371, 287, 186
• GCD of 252, 484, 197, 830
• GCD of 680, 631, 868, 406
• GCD of 400, 968, 900, 447

1. What is the GCD of 125, 204, 438, 406?

GCD of 125, 204, 438, 406 is 1

2. Where do I get the detailed procedure to find GCD of 125, 204, 438, 406?

You can find a detailed procedure to find GCD of 125, 204, 438, 406 on our page.

3. How to find GCD of 125, 204, 438, 406 on a calculator?

You can find the GCD of 125, 204, 438, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.