GCD of 120, 921, 83, 285 Calculator

Given Input numbers are 120, 921, 83, 285

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 83

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

1, 83

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 120, 921, 83, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 921, 83, 285 is 1.

Therefore, GCD of numbers 120, 921, 83, 285 is 1

Given Input Data is 120, 921, 83, 285

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 921 is 3 x 307

Prime Factorization of 83 is 83

Prime Factorization of 285 is 3 x 5 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, 921) = 36840

GCD(120, 921) = ( 120 x 921 ) / 36840

GCD(120, 921) = 110520 / 36840

GCD(120, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 120, 921, 83, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 122, 84, 413
• GCD of 229, 953, 51, 609
• GCD of 600, 428, 28, 772
• GCD of 664, 328, 49, 437
• GCD of 971, 837, 64, 396

1. What is the GCD of 120, 921, 83, 285?

GCD of 120, 921, 83, 285 is 1

2. Where do I get the detailed procedure to find GCD of 120, 921, 83, 285?

You can find a detailed procedure to find GCD of 120, 921, 83, 285 on our page.

3. How to find GCD of 120, 921, 83, 285 on a calculator?

You can find the GCD of 120, 921, 83, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.