GCD of 120, 939, 37, 517 Calculator

Given Input numbers are 120, 939, 37, 517

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 120, 939, 37, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 939, 37, 517 is 1.

Therefore, GCD of numbers 120, 939, 37, 517 is 1

Given Input Data is 120, 939, 37, 517

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 939 is 3 x 313

Prime Factorization of 37 is 37

Prime Factorization of 517 is 11 x 47

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, 939) = 37560

GCD(120, 939) = ( 120 x 939 ) / 37560

GCD(120, 939) = 112680 / 37560

GCD(120, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 120, 939, 37, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 833, 79, 809
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• GCD of 688, 545, 81, 955
• GCD of 206, 214, 45, 456
• GCD of 341, 663, 28, 841

1. What is the GCD of 120, 939, 37, 517?

GCD of 120, 939, 37, 517 is 1

2. Where do I get the detailed procedure to find GCD of 120, 939, 37, 517?

You can find a detailed procedure to find GCD of 120, 939, 37, 517 on our page.

3. How to find GCD of 120, 939, 37, 517 on a calculator?

You can find the GCD of 120, 939, 37, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.