GCD of 516, 188, 841, 586 Calculator

Given Input numbers are 516, 188, 841, 586

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 516, 188, 841, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 188, 841, 586 is 1.

Therefore, GCD of numbers 516, 188, 841, 586 is 1

Given Input Data is 516, 188, 841, 586

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 188 is 2 x 2 x 47

Prime Factorization of 841 is 29 x 29

Prime Factorization of 586 is 2 x 293

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, 188) = 24252

GCD(516, 188) = ( 516 x 188 ) / 24252

GCD(516, 188) = 97008 / 24252

GCD(516, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 841

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

LCM(4, 841) = 3364

GCD(4, 841) = ( 4 x 841 ) / 3364

GCD(4, 841) = 3364 / 3364

GCD(4, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 516, 188, 841, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 254, 906, 917
• GCD of 308, 932, 139, 198
• GCD of 846, 164, 988, 750
• GCD of 791, 299, 866, 112
• GCD of 775, 775, 271, 482

1. What is the GCD of 516, 188, 841, 586?

GCD of 516, 188, 841, 586 is 1

2. Where do I get the detailed procedure to find GCD of 516, 188, 841, 586?

You can find a detailed procedure to find GCD of 516, 188, 841, 586 on our page.

3. How to find GCD of 516, 188, 841, 586 on a calculator?

You can find the GCD of 516, 188, 841, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.