GCD of 218, 633, 31, 239 Calculator

Given Input numbers are 218, 633, 31, 239

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 31

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

1, 31

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 218, 633, 31, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 633, 31, 239 is 1.

Therefore, GCD of numbers 218, 633, 31, 239 is 1

Given Input Data is 218, 633, 31, 239

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 633 is 3 x 211

Prime Factorization of 31 is 31

Prime Factorization of 239 is 239

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(218, 633) = 137994

GCD(218, 633) = ( 218 x 633 ) / 137994

GCD(218, 633) = 137994 / 137994

GCD(218, 633) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 218, 633, 31, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 211, 73, 693
• GCD of 972, 666, 12, 473
• GCD of 926, 467, 46, 518
• GCD of 849, 643, 35, 795
• GCD of 187, 898, 20, 637

1. What is the GCD of 218, 633, 31, 239?

GCD of 218, 633, 31, 239 is 1

2. Where do I get the detailed procedure to find GCD of 218, 633, 31, 239?

You can find a detailed procedure to find GCD of 218, 633, 31, 239 on our page.

3. How to find GCD of 218, 633, 31, 239 on a calculator?

You can find the GCD of 218, 633, 31, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.