GCD of 996, 580, 25, 723 Calculator

Given Input numbers are 996, 580, 25, 723

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 996, 580, 25, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 580, 25, 723 is 1.

Therefore, GCD of numbers 996, 580, 25, 723 is 1

Given Input Data is 996, 580, 25, 723

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 723 is 3 x 241

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(996, 580) = 144420

GCD(996, 580) = ( 996 x 580 ) / 144420

GCD(996, 580) = 577680 / 144420

GCD(996, 580) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 25

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

LCM(4, 25) = 100

GCD(4, 25) = ( 4 x 25 ) / 100

GCD(4, 25) = 100 / 100

GCD(4, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 996, 580, 25, 723 is 1

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• GCD of 682, 266, 16, 638
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1. What is the GCD of 996, 580, 25, 723?

GCD of 996, 580, 25, 723 is 1

2. Where do I get the detailed procedure to find GCD of 996, 580, 25, 723?

You can find a detailed procedure to find GCD of 996, 580, 25, 723 on our page.

3. How to find GCD of 996, 580, 25, 723 on a calculator?

You can find the GCD of 996, 580, 25, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.