GCD of 993, 183, 790, 527 Calculator

Given Input numbers are 993, 183, 790, 527

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 993, 183, 790, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 183, 790, 527 is 1.

Therefore, GCD of numbers 993, 183, 790, 527 is 1

Given Input Data is 993, 183, 790, 527

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 183 is 3 x 61

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 527 is 17 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(993, 183) = 60573

GCD(993, 183) = ( 993 x 183 ) / 60573

GCD(993, 183) = 181719 / 60573

GCD(993, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 790

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

LCM(3, 790) = 2370

GCD(3, 790) = ( 3 x 790 ) / 2370

GCD(3, 790) = 2370 / 2370

GCD(3, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 993, 183, 790, 527 is 1

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1. What is the GCD of 993, 183, 790, 527?

GCD of 993, 183, 790, 527 is 1

2. Where do I get the detailed procedure to find GCD of 993, 183, 790, 527?

You can find a detailed procedure to find GCD of 993, 183, 790, 527 on our page.

3. How to find GCD of 993, 183, 790, 527 on a calculator?

You can find the GCD of 993, 183, 790, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.