GCD of 198, 535, 571, 507 Calculator

Given Input numbers are 198, 535, 571, 507

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 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 198, 535, 571, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 535, 571, 507 is 1.

Therefore, GCD of numbers 198, 535, 571, 507 is 1

Given Input Data is 198, 535, 571, 507

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 535 is 5 x 107

Prime Factorization of 571 is 571

Prime Factorization of 507 is 3 x 13 x 13

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, 535) = 105930

GCD(198, 535) = ( 198 x 535 ) / 105930

GCD(198, 535) = 105930 / 105930

GCD(198, 535) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 198, 535, 571, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 616, 323, 675
• GCD of 649, 830, 486, 253
• GCD of 452, 552, 143, 389
• GCD of 755, 375, 299, 829
• GCD of 684, 503, 402, 314

1. What is the GCD of 198, 535, 571, 507?

GCD of 198, 535, 571, 507 is 1

2. Where do I get the detailed procedure to find GCD of 198, 535, 571, 507?

You can find a detailed procedure to find GCD of 198, 535, 571, 507 on our page.

3. How to find GCD of 198, 535, 571, 507 on a calculator?

You can find the GCD of 198, 535, 571, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.