GCD of 198, 360, 31, 613 Calculator

Given Input numbers are 198, 360, 31, 613

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 198, 360, 31, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 360, 31, 613 is 1.

Therefore, GCD of numbers 198, 360, 31, 613 is 1

Given Input Data is 198, 360, 31, 613

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 31 is 31

Prime Factorization of 613 is 613

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, 360) = 3960

GCD(198, 360) = ( 198 x 360 ) / 3960

GCD(198, 360) = 71280 / 3960

GCD(198, 360) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 31

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

LCM(18, 31) = 558

GCD(18, 31) = ( 18 x 31 ) / 558

GCD(18, 31) = 558 / 558

GCD(18, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 198, 360, 31, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 230, 23, 873
• GCD of 496, 573, 25, 736
• GCD of 603, 548, 89, 681
• GCD of 184, 983, 98, 572
• GCD of 426, 373, 22, 954

1. What is the GCD of 198, 360, 31, 613?

GCD of 198, 360, 31, 613 is 1

2. Where do I get the detailed procedure to find GCD of 198, 360, 31, 613?

You can find a detailed procedure to find GCD of 198, 360, 31, 613 on our page.

3. How to find GCD of 198, 360, 31, 613 on a calculator?

You can find the GCD of 198, 360, 31, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.