GCD of 12, 125, 355, 412 Calculator

Given Input numbers are 12, 125, 355, 412

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 125

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

1, 5, 25, 125

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 412

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

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 12, 125, 355, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 125, 355, 412 is 1.

Therefore, GCD of numbers 12, 125, 355, 412 is 1

Given Input Data is 12, 125, 355, 412

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 355 is 5 x 71

Prime Factorization of 412 is 2 x 2 x 103

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(12, 125) = 1500

GCD(12, 125) = ( 12 x 125 ) / 1500

GCD(12, 125) = 1500 / 1500

GCD(12, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 12, 125, 355, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 122, 256, 862
• GCD of 40, 913, 854, 165
• GCD of 80, 233, 990, 110
• GCD of 99, 256, 677, 403
• GCD of 91, 310, 566, 432

1. What is the GCD of 12, 125, 355, 412?

GCD of 12, 125, 355, 412 is 1

2. Where do I get the detailed procedure to find GCD of 12, 125, 355, 412?

You can find a detailed procedure to find GCD of 12, 125, 355, 412 on our page.

3. How to find GCD of 12, 125, 355, 412 on a calculator?

You can find the GCD of 12, 125, 355, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.