GCD of 30, 921, 764, 592 Calculator

Given Input numbers are 30, 921, 764, 592

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 921

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

1, 3, 307, 921

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 30, 921, 764, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 921, 764, 592 is 1.

Therefore, GCD of numbers 30, 921, 764, 592 is 1

Given Input Data is 30, 921, 764, 592

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 921 is 3 x 307

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(30, 921) = 9210

GCD(30, 921) = ( 30 x 921 ) / 9210

GCD(30, 921) = 27630 / 9210

GCD(30, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 764

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

LCM(3, 764) = 2292

GCD(3, 764) = ( 3 x 764 ) / 2292

GCD(3, 764) = 2292 / 2292

GCD(3, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 30, 921, 764, 592 is 1

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1. What is the GCD of 30, 921, 764, 592?

GCD of 30, 921, 764, 592 is 1

2. Where do I get the detailed procedure to find GCD of 30, 921, 764, 592?

You can find a detailed procedure to find GCD of 30, 921, 764, 592 on our page.

3. How to find GCD of 30, 921, 764, 592 on a calculator?

You can find the GCD of 30, 921, 764, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.