GCD of 516, 236, 84, 108 Calculator

Given Input numbers are 516, 236, 84, 108

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 516, 236, 84, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 236, 84, 108 is 4.

Therefore, GCD of numbers 516, 236, 84, 108 is 4

Given Input Data is 516, 236, 84, 108

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 236 is 2 x 2 x 59

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 236) = 30444

GCD(516, 236) = ( 516 x 236 ) / 30444

GCD(516, 236) = 121776 / 30444

GCD(516, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 108

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

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

GCD(4, 108) = 432 / 108

GCD(4, 108) = 4

GCD of 516, 236, 84, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 758, 82, 169
• GCD of 498, 600, 26, 821
• GCD of 705, 146, 76, 158
• GCD of 808, 129, 84, 977
• GCD of 247, 646, 33, 732

1. What is the GCD of 516, 236, 84, 108?

GCD of 516, 236, 84, 108 is 4

2. Where do I get the detailed procedure to find GCD of 516, 236, 84, 108?

You can find a detailed procedure to find GCD of 516, 236, 84, 108 on our page.

3. How to find GCD of 516, 236, 84, 108 on a calculator?

You can find the GCD of 516, 236, 84, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.