GCD of 984, 808, 312, 595 Calculator

Given Input numbers are 984, 808, 312, 595

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Greatest Common Divisior

We found the divisors of 984, 808, 312, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 808, 312, 595 is 1.

Therefore, GCD of numbers 984, 808, 312, 595 is 1

Given Input Data is 984, 808, 312, 595

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 595 is 5 x 7 x 17

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, 808) = 99384

GCD(984, 808) = ( 984 x 808 ) / 99384

GCD(984, 808) = 795072 / 99384

GCD(984, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 312

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

LCM(8, 312) = 312

GCD(8, 312) = ( 8 x 312 ) / 312

GCD(8, 312) = 2496 / 312

GCD(8, 312) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 595

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

LCM(8, 595) = 4760

GCD(8, 595) = ( 8 x 595 ) / 4760

GCD(8, 595) = 4760 / 4760

GCD(8, 595) = 1

GCD of 984, 808, 312, 595 is 1

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1. What is the GCD of 984, 808, 312, 595?

GCD of 984, 808, 312, 595 is 1

2. Where do I get the detailed procedure to find GCD of 984, 808, 312, 595?

You can find a detailed procedure to find GCD of 984, 808, 312, 595 on our page.

3. How to find GCD of 984, 808, 312, 595 on a calculator?

You can find the GCD of 984, 808, 312, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.