GCD of 861, 318, 37, 558 Calculator

Given Input numbers are 861, 318, 37, 558

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 861, 318, 37, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 318, 37, 558 is 1.

Therefore, GCD of numbers 861, 318, 37, 558 is 1

Given Input Data is 861, 318, 37, 558

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 37 is 37

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(861, 318) = 91266

GCD(861, 318) = ( 861 x 318 ) / 91266

GCD(861, 318) = 273798 / 91266

GCD(861, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 861, 318, 37, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 998, 41, 221
• GCD of 501, 280, 23, 617
• GCD of 666, 773, 46, 196
• GCD of 806, 582, 43, 902
• GCD of 280, 853, 72, 219

1. What is the GCD of 861, 318, 37, 558?

GCD of 861, 318, 37, 558 is 1

2. Where do I get the detailed procedure to find GCD of 861, 318, 37, 558?

You can find a detailed procedure to find GCD of 861, 318, 37, 558 on our page.

3. How to find GCD of 861, 318, 37, 558 on a calculator?

You can find the GCD of 861, 318, 37, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.