GCD of 993, 580, 146, 723 Calculator

Given Input numbers are 993, 580, 146, 723

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

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 993, 580, 146, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 580, 146, 723 is 1.

Therefore, GCD of numbers 993, 580, 146, 723 is 1

Given Input Data is 993, 580, 146, 723

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

Prime Factorization of 993 is 3 x 331

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

Prime Factorization of 146 is 2 x 73

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(993, 580) = 575940

GCD(993, 580) = ( 993 x 580 ) / 575940

GCD(993, 580) = 575940 / 575940

GCD(993, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 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 993, 580, 146, 723 is 1

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• GCD of 319, 837, 409, 732
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1. What is the GCD of 993, 580, 146, 723?

GCD of 993, 580, 146, 723 is 1

2. Where do I get the detailed procedure to find GCD of 993, 580, 146, 723?

You can find a detailed procedure to find GCD of 993, 580, 146, 723 on our page.

3. How to find GCD of 993, 580, 146, 723 on a calculator?

You can find the GCD of 993, 580, 146, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.