GCD of 196, 459, 872 Calculator

Given Input numbers are 196, 459, 872

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 196, 459, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 459, 872 is 1.

Therefore, GCD of numbers 196, 459, 872 is 1

Given Input Data is 196, 459, 872

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(196, 459) = 89964

GCD(196, 459) = ( 196 x 459 ) / 89964

GCD(196, 459) = 89964 / 89964

GCD(196, 459) = 1

Step2:

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 196, 459, 872 is 1

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1. What is the GCD of 196, 459, 872?

GCD of 196, 459, 872 is 1

2. Where do I get the detailed procedure to find GCD of 196, 459, 872?

You can find a detailed procedure to find GCD of 196, 459, 872 on our page.

3. How to find GCD of 196, 459, 872 on a calculator?

You can find the GCD of 196, 459, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.