GCD of 217, 188, 72, 872 Calculator

Given Input numbers are 217, 188, 72, 872

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 217, 188, 72, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 188, 72, 872 is 1.

Therefore, GCD of numbers 217, 188, 72, 872 is 1

Given Input Data is 217, 188, 72, 872

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(217, 188) = 40796

GCD(217, 188) = ( 217 x 188 ) / 40796

GCD(217, 188) = 40796 / 40796

GCD(217, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 217, 188, 72, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 311, 30, 540
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• GCD of 402, 129, 14, 741
• GCD of 244, 226, 89, 847

1. What is the GCD of 217, 188, 72, 872?

GCD of 217, 188, 72, 872 is 1

2. Where do I get the detailed procedure to find GCD of 217, 188, 72, 872?

You can find a detailed procedure to find GCD of 217, 188, 72, 872 on our page.

3. How to find GCD of 217, 188, 72, 872 on a calculator?

You can find the GCD of 217, 188, 72, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.