GCD of 79, 187, 580, 198 Calculator

Given Input numbers are 79, 187, 580, 198

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 79, 187, 580, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 187, 580, 198 is 1.

Therefore, GCD of numbers 79, 187, 580, 198 is 1

Given Input Data is 79, 187, 580, 198

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

Prime Factorization of 79 is 79

Prime Factorization of 187 is 11 x 17

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(79, 187) = 14773

GCD(79, 187) = ( 79 x 187 ) / 14773

GCD(79, 187) = 14773 / 14773

GCD(79, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 79, 187, 580, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 184, 785, 673
• GCD of 20, 245, 732, 710
• GCD of 76, 438, 323, 793
• GCD of 20, 516, 947, 713
• GCD of 91, 152, 213, 650

1. What is the GCD of 79, 187, 580, 198?

GCD of 79, 187, 580, 198 is 1

2. Where do I get the detailed procedure to find GCD of 79, 187, 580, 198?

You can find a detailed procedure to find GCD of 79, 187, 580, 198 on our page.

3. How to find GCD of 79, 187, 580, 198 on a calculator?

You can find the GCD of 79, 187, 580, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.