GCD of 598, 873, 72, 189 Calculator

Given Input numbers are 598, 873, 72, 189

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 598, 873, 72, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 873, 72, 189 is 1.

Therefore, GCD of numbers 598, 873, 72, 189 is 1

Given Input Data is 598, 873, 72, 189

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 873 is 3 x 3 x 97

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(598, 873) = 522054

GCD(598, 873) = ( 598 x 873 ) / 522054

GCD(598, 873) = 522054 / 522054

GCD(598, 873) = 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 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 598, 873, 72, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 275, 47, 829
• GCD of 772, 616, 68, 312
• GCD of 343, 833, 65, 252
• GCD of 788, 102, 36, 417
• GCD of 138, 862, 44, 640

1. What is the GCD of 598, 873, 72, 189?

GCD of 598, 873, 72, 189 is 1

2. Where do I get the detailed procedure to find GCD of 598, 873, 72, 189?

You can find a detailed procedure to find GCD of 598, 873, 72, 189 on our page.

3. How to find GCD of 598, 873, 72, 189 on a calculator?

You can find the GCD of 598, 873, 72, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.