GCD of 389, 506, 83, 120 Calculator

Given Input numbers are 389, 506, 83, 120

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 389, 506, 83, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 506, 83, 120 is 1.

Therefore, GCD of numbers 389, 506, 83, 120 is 1

Given Input Data is 389, 506, 83, 120

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

Prime Factorization of 389 is 389

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 83 is 83

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(389, 506) = 196834

GCD(389, 506) = ( 389 x 506 ) / 196834

GCD(389, 506) = 196834 / 196834

GCD(389, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 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 389, 506, 83, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 844, 24, 443
• GCD of 495, 738, 87, 695
• GCD of 452, 730, 91, 688
• GCD of 506, 548, 92, 674
• GCD of 246, 509, 13, 563

1. What is the GCD of 389, 506, 83, 120?

GCD of 389, 506, 83, 120 is 1

2. Where do I get the detailed procedure to find GCD of 389, 506, 83, 120?

You can find a detailed procedure to find GCD of 389, 506, 83, 120 on our page.

3. How to find GCD of 389, 506, 83, 120 on a calculator?

You can find the GCD of 389, 506, 83, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.