GCD of 519, 792, 993, 677 Calculator

Given Input numbers are 519, 792, 993, 677

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 993

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

1, 3, 331, 993

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 519, 792, 993, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 792, 993, 677 is 1.

Therefore, GCD of numbers 519, 792, 993, 677 is 1

Given Input Data is 519, 792, 993, 677

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 993 is 3 x 331

Prime Factorization of 677 is 677

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(519, 792) = 137016

GCD(519, 792) = ( 519 x 792 ) / 137016

GCD(519, 792) = 411048 / 137016

GCD(519, 792) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 677

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

LCM(3, 677) = 2031

GCD(3, 677) = ( 3 x 677 ) / 2031

GCD(3, 677) = 2031 / 2031

GCD(3, 677) = 1

GCD of 519, 792, 993, 677 is 1

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1. What is the GCD of 519, 792, 993, 677?

GCD of 519, 792, 993, 677 is 1

2. Where do I get the detailed procedure to find GCD of 519, 792, 993, 677?

You can find a detailed procedure to find GCD of 519, 792, 993, 677 on our page.

3. How to find GCD of 519, 792, 993, 677 on a calculator?

You can find the GCD of 519, 792, 993, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.