GCD of 116, 516, 84, 102 Calculator

Given Input numbers are 116, 516, 84, 102

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 116, 516, 84, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 516, 84, 102 is 2.

Therefore, GCD of numbers 116, 516, 84, 102 is 2

Given Input Data is 116, 516, 84, 102

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

Prime Factorization of 116 is 2 x 2 x 29

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

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

Prime Factorization of 102 is 2 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(116, 516) = 14964

GCD(116, 516) = ( 116 x 516 ) / 14964

GCD(116, 516) = 59856 / 14964

GCD(116, 516) = 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 102

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

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

GCD(4, 102) = 408 / 204

GCD(4, 102) = 2

GCD of 116, 516, 84, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 471, 32, 835
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1. What is the GCD of 116, 516, 84, 102?

GCD of 116, 516, 84, 102 is 2

2. Where do I get the detailed procedure to find GCD of 116, 516, 84, 102?

You can find a detailed procedure to find GCD of 116, 516, 84, 102 on our page.

3. How to find GCD of 116, 516, 84, 102 on a calculator?

You can find the GCD of 116, 516, 84, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.