GCD of 365, 189, 72, 412 Calculator

Given Input numbers are 365, 189, 72, 412

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 365, 189, 72, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 189, 72, 412 is 1.

Therefore, GCD of numbers 365, 189, 72, 412 is 1

Given Input Data is 365, 189, 72, 412

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(365, 189) = 68985

GCD(365, 189) = ( 365 x 189 ) / 68985

GCD(365, 189) = 68985 / 68985

GCD(365, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 365, 189, 72, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 873, 13, 109
• GCD of 506, 294, 89, 463
• GCD of 438, 308, 72, 793
• GCD of 245, 235, 78, 162
• GCD of 309, 126, 44, 383

1. What is the GCD of 365, 189, 72, 412?

GCD of 365, 189, 72, 412 is 1

2. Where do I get the detailed procedure to find GCD of 365, 189, 72, 412?

You can find a detailed procedure to find GCD of 365, 189, 72, 412 on our page.

3. How to find GCD of 365, 189, 72, 412 on a calculator?

You can find the GCD of 365, 189, 72, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.