GCD of 156, 712, 37, 412 Calculator

Given Input numbers are 156, 712, 37, 412

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 156, 712, 37, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 712, 37, 412 is 1.

Therefore, GCD of numbers 156, 712, 37, 412 is 1

Given Input Data is 156, 712, 37, 412

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 37 is 37

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(156, 712) = 27768

GCD(156, 712) = ( 156 x 712 ) / 27768

GCD(156, 712) = 111072 / 27768

GCD(156, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 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 156, 712, 37, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 757, 87, 856
• GCD of 218, 690, 44, 331
• GCD of 388, 360, 20, 226
• GCD of 446, 166, 92, 972
• GCD of 246, 403, 82, 839

1. What is the GCD of 156, 712, 37, 412?

GCD of 156, 712, 37, 412 is 1

2. Where do I get the detailed procedure to find GCD of 156, 712, 37, 412?

You can find a detailed procedure to find GCD of 156, 712, 37, 412 on our page.

3. How to find GCD of 156, 712, 37, 412 on a calculator?

You can find the GCD of 156, 712, 37, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.