GCD of 872, 405, 67, 472 Calculator

Given Input numbers are 872, 405, 67, 472

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

Divisors of 872

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

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 872, 405, 67, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 405, 67, 472 is 1.

Therefore, GCD of numbers 872, 405, 67, 472 is 1

Given Input Data is 872, 405, 67, 472

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

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 67 is 67

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(872, 405) = 353160

GCD(872, 405) = ( 872 x 405 ) / 353160

GCD(872, 405) = 353160 / 353160

GCD(872, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 872, 405, 67, 472 is 1

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1. What is the GCD of 872, 405, 67, 472?

GCD of 872, 405, 67, 472 is 1

2. Where do I get the detailed procedure to find GCD of 872, 405, 67, 472?

You can find a detailed procedure to find GCD of 872, 405, 67, 472 on our page.

3. How to find GCD of 872, 405, 67, 472 on a calculator?

You can find the GCD of 872, 405, 67, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.