GCD of 516, 182, 20, 107 Calculator

Given Input numbers are 516, 182, 20, 107

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 516, 182, 20, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 182, 20, 107 is 1.

Therefore, GCD of numbers 516, 182, 20, 107 is 1

Given Input Data is 516, 182, 20, 107

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 182 is 2 x 7 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 107 is 107

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, 182) = 46956

GCD(516, 182) = ( 516 x 182 ) / 46956

GCD(516, 182) = 93912 / 46956

GCD(516, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 516, 182, 20, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 255, 72, 153
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• GCD of 503, 532, 99, 800
• GCD of 457, 932, 28, 723

1. What is the GCD of 516, 182, 20, 107?

GCD of 516, 182, 20, 107 is 1

2. Where do I get the detailed procedure to find GCD of 516, 182, 20, 107?

You can find a detailed procedure to find GCD of 516, 182, 20, 107 on our page.

3. How to find GCD of 516, 182, 20, 107 on a calculator?

You can find the GCD of 516, 182, 20, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.