GCD of 120, 183, 38, 323 Calculator

Given Input numbers are 120, 183, 38, 323

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

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 120, 183, 38, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 183, 38, 323 is 1.

Therefore, GCD of numbers 120, 183, 38, 323 is 1

Given Input Data is 120, 183, 38, 323

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

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 38 is 2 x 19

Prime Factorization of 323 is 17 x 19

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(120, 183) = 7320

GCD(120, 183) = ( 120 x 183 ) / 7320

GCD(120, 183) = 21960 / 7320

GCD(120, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 120, 183, 38, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 507, 12, 367
• GCD of 210, 492, 33, 771
• GCD of 512, 112, 77, 664
• GCD of 245, 488, 32, 647
• GCD of 595, 902, 72, 807

1. What is the GCD of 120, 183, 38, 323?

GCD of 120, 183, 38, 323 is 1

2. Where do I get the detailed procedure to find GCD of 120, 183, 38, 323?

You can find a detailed procedure to find GCD of 120, 183, 38, 323 on our page.

3. How to find GCD of 120, 183, 38, 323 on a calculator?

You can find the GCD of 120, 183, 38, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.