GCD of 984, 405, 57, 362 Calculator

Given Input numbers are 984, 405, 57, 362

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 984, 405, 57, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 405, 57, 362 is 1.

Therefore, GCD of numbers 984, 405, 57, 362 is 1

Given Input Data is 984, 405, 57, 362

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 57 is 3 x 19

Prime Factorization of 362 is 2 x 181

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(984, 405) = 132840

GCD(984, 405) = ( 984 x 405 ) / 132840

GCD(984, 405) = 398520 / 132840

GCD(984, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 362

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

LCM(3, 362) = 1086

GCD(3, 362) = ( 3 x 362 ) / 1086

GCD(3, 362) = 1086 / 1086

GCD(3, 362) = 1

GCD of 984, 405, 57, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 354, 89, 253
• GCD of 766, 377, 53, 101
• GCD of 113, 765, 57, 543
• GCD of 234, 241, 46, 398
• GCD of 855, 433, 77, 400

1. What is the GCD of 984, 405, 57, 362?

GCD of 984, 405, 57, 362 is 1

2. Where do I get the detailed procedure to find GCD of 984, 405, 57, 362?

You can find a detailed procedure to find GCD of 984, 405, 57, 362 on our page.

3. How to find GCD of 984, 405, 57, 362 on a calculator?

You can find the GCD of 984, 405, 57, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.