GCD of 412, 167, 21, 872 Calculator

Given Input numbers are 412, 167, 21, 872

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

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 412, 167, 21, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 167, 21, 872 is 1.

Therefore, GCD of numbers 412, 167, 21, 872 is 1

Given Input Data is 412, 167, 21, 872

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 167 is 167

Prime Factorization of 21 is 3 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(412, 167) = 68804

GCD(412, 167) = ( 412 x 167 ) / 68804

GCD(412, 167) = 68804 / 68804

GCD(412, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 412, 167, 21, 872 is 1

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1. What is the GCD of 412, 167, 21, 872?

GCD of 412, 167, 21, 872 is 1

2. Where do I get the detailed procedure to find GCD of 412, 167, 21, 872?

You can find a detailed procedure to find GCD of 412, 167, 21, 872 on our page.

3. How to find GCD of 412, 167, 21, 872 on a calculator?

You can find the GCD of 412, 167, 21, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.