GCD of 783, 592, 21, 325 Calculator

Given Input numbers are 783, 592, 21, 325

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 783, 592, 21, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 592, 21, 325 is 1.

Therefore, GCD of numbers 783, 592, 21, 325 is 1

Given Input Data is 783, 592, 21, 325

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 325 is 5 x 5 x 13

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(783, 592) = 463536

GCD(783, 592) = ( 783 x 592 ) / 463536

GCD(783, 592) = 463536 / 463536

GCD(783, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 783, 592, 21, 325 is 1

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1. What is the GCD of 783, 592, 21, 325?

GCD of 783, 592, 21, 325 is 1

2. Where do I get the detailed procedure to find GCD of 783, 592, 21, 325?

You can find a detailed procedure to find GCD of 783, 592, 21, 325 on our page.

3. How to find GCD of 783, 592, 21, 325 on a calculator?

You can find the GCD of 783, 592, 21, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.