GCD of 213, 937, 18, 120 Calculator

Given Input numbers are 213, 937, 18, 120

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 213, 937, 18, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 937, 18, 120 is 1.

Therefore, GCD of numbers 213, 937, 18, 120 is 1

Given Input Data is 213, 937, 18, 120

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 937 is 937

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(213, 937) = 199581

GCD(213, 937) = ( 213 x 937 ) / 199581

GCD(213, 937) = 199581 / 199581

GCD(213, 937) = 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 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 213, 937, 18, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 767, 26, 251
• GCD of 657, 347, 73, 329
• GCD of 122, 654, 54, 190
• GCD of 293, 785, 99, 884
• GCD of 736, 215, 45, 982

1. What is the GCD of 213, 937, 18, 120?

GCD of 213, 937, 18, 120 is 1

2. Where do I get the detailed procedure to find GCD of 213, 937, 18, 120?

You can find a detailed procedure to find GCD of 213, 937, 18, 120 on our page.

3. How to find GCD of 213, 937, 18, 120 on a calculator?

You can find the GCD of 213, 937, 18, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.