GCD of 516, 813, 662, 689 Calculator

Given Input numbers are 516, 813, 662, 689

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 516, 813, 662, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 813, 662, 689 is 1.

Therefore, GCD of numbers 516, 813, 662, 689 is 1

Given Input Data is 516, 813, 662, 689

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 813 is 3 x 271

Prime Factorization of 662 is 2 x 331

Prime Factorization of 689 is 13 x 53

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(516, 813) = 139836

GCD(516, 813) = ( 516 x 813 ) / 139836

GCD(516, 813) = 419508 / 139836

GCD(516, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 662

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

LCM(3, 662) = 1986

GCD(3, 662) = ( 3 x 662 ) / 1986

GCD(3, 662) = 1986 / 1986

GCD(3, 662) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 516, 813, 662, 689 is 1

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1. What is the GCD of 516, 813, 662, 689?

GCD of 516, 813, 662, 689 is 1

2. Where do I get the detailed procedure to find GCD of 516, 813, 662, 689?

You can find a detailed procedure to find GCD of 516, 813, 662, 689 on our page.

3. How to find GCD of 516, 813, 662, 689 on a calculator?

You can find the GCD of 516, 813, 662, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.