GCD of 156, 212, 47, 442 Calculator

Given Input numbers are 156, 212, 47, 442

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 156, 212, 47, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 212, 47, 442 is 1.

Therefore, GCD of numbers 156, 212, 47, 442 is 1

Given Input Data is 156, 212, 47, 442

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 212 is 2 x 2 x 53

Prime Factorization of 47 is 47

Prime Factorization of 442 is 2 x 13 x 17

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, 212) = 8268

GCD(156, 212) = ( 156 x 212 ) / 8268

GCD(156, 212) = 33072 / 8268

GCD(156, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 156, 212, 47, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 633, 30, 474
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• GCD of 944, 146, 70, 708

1. What is the GCD of 156, 212, 47, 442?

GCD of 156, 212, 47, 442 is 1

2. Where do I get the detailed procedure to find GCD of 156, 212, 47, 442?

You can find a detailed procedure to find GCD of 156, 212, 47, 442 on our page.

3. How to find GCD of 156, 212, 47, 442 on a calculator?

You can find the GCD of 156, 212, 47, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.