GCD of 996, 580, 753, 899 Calculator

Given Input numbers are 996, 580, 753, 899

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 996, 580, 753, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 580, 753, 899 is 1.

Therefore, GCD of numbers 996, 580, 753, 899 is 1

Given Input Data is 996, 580, 753, 899

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 753 is 3 x 251

Prime Factorization of 899 is 29 x 31

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 753

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

LCM(4, 753) = 3012

GCD(4, 753) = ( 4 x 753 ) / 3012

GCD(4, 753) = 3012 / 3012

GCD(4, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 996, 580, 753, 899 is 1

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1. What is the GCD of 996, 580, 753, 899?

GCD of 996, 580, 753, 899 is 1

2. Where do I get the detailed procedure to find GCD of 996, 580, 753, 899?

You can find a detailed procedure to find GCD of 996, 580, 753, 899 on our page.

3. How to find GCD of 996, 580, 753, 899 on a calculator?

You can find the GCD of 996, 580, 753, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.