GCD of 689, 688, 516 Calculator

Given Input numbers are 689, 688, 516

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

Greatest Common Divisior

We found the divisors of 689, 688, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 688, 516 is 1.

Therefore, GCD of numbers 689, 688, 516 is 1

Given Input Data is 689, 688, 516

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

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(689, 688) = 474032

GCD(689, 688) = ( 689 x 688 ) / 474032

GCD(689, 688) = 474032 / 474032

GCD(689, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 689, 688, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 425, 151
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1. What is the GCD of 689, 688, 516?

GCD of 689, 688, 516 is 1

2. Where do I get the detailed procedure to find GCD of 689, 688, 516?

You can find a detailed procedure to find GCD of 689, 688, 516 on our page.

3. How to find GCD of 689, 688, 516 on a calculator?

You can find the GCD of 689, 688, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.