GCD of 198, 595, 509, 235 Calculator

Given Input numbers are 198, 595, 509, 235

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

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 198, 595, 509, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 595, 509, 235 is 1.

Therefore, GCD of numbers 198, 595, 509, 235 is 1

Given Input Data is 198, 595, 509, 235

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

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 509 is 509

Prime Factorization of 235 is 5 x 47

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(198, 595) = 117810

GCD(198, 595) = ( 198 x 595 ) / 117810

GCD(198, 595) = 117810 / 117810

GCD(198, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 198, 595, 509, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 968, 348, 168
• GCD of 934, 413, 408, 190
• GCD of 530, 307, 231, 251
• GCD of 716, 189, 378, 820
• GCD of 509, 714, 968, 740

1. What is the GCD of 198, 595, 509, 235?

GCD of 198, 595, 509, 235 is 1

2. Where do I get the detailed procedure to find GCD of 198, 595, 509, 235?

You can find a detailed procedure to find GCD of 198, 595, 509, 235 on our page.

3. How to find GCD of 198, 595, 509, 235 on a calculator?

You can find the GCD of 198, 595, 509, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.