GCD of 198, 761, 852, 282 Calculator

Given Input numbers are 198, 761, 852, 282

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 198, 761, 852, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 761, 852, 282 is 1.

Therefore, GCD of numbers 198, 761, 852, 282 is 1

Given Input Data is 198, 761, 852, 282

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 761 is 761

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 282 is 2 x 3 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, 761) = 150678

GCD(198, 761) = ( 198 x 761 ) / 150678

GCD(198, 761) = 150678 / 150678

GCD(198, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 198, 761, 852, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 230, 519, 297
• GCD of 287, 473, 652, 524
• GCD of 188, 908, 899, 865
• GCD of 125, 244, 307, 282
• GCD of 742, 561, 676, 456

1. What is the GCD of 198, 761, 852, 282?

GCD of 198, 761, 852, 282 is 1

2. Where do I get the detailed procedure to find GCD of 198, 761, 852, 282?

You can find a detailed procedure to find GCD of 198, 761, 852, 282 on our page.

3. How to find GCD of 198, 761, 852, 282 on a calculator?

You can find the GCD of 198, 761, 852, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.