GCD of 216, 637, 18, 310 Calculator

Given Input numbers are 216, 637, 18, 310

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 216, 637, 18, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 637, 18, 310 is 1.

Therefore, GCD of numbers 216, 637, 18, 310 is 1

Given Input Data is 216, 637, 18, 310

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 310 is 2 x 5 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(216, 637) = 137592

GCD(216, 637) = ( 216 x 637 ) / 137592

GCD(216, 637) = 137592 / 137592

GCD(216, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 216, 637, 18, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 971, 17, 352
• GCD of 949, 233, 94, 375
• GCD of 368, 195, 18, 997
• GCD of 142, 962, 88, 878
• GCD of 904, 991, 45, 450

1. What is the GCD of 216, 637, 18, 310?

GCD of 216, 637, 18, 310 is 1

2. Where do I get the detailed procedure to find GCD of 216, 637, 18, 310?

You can find a detailed procedure to find GCD of 216, 637, 18, 310 on our page.

3. How to find GCD of 216, 637, 18, 310 on a calculator?

You can find the GCD of 216, 637, 18, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.