GCD of 820, 516, 23, 181 Calculator

Given Input numbers are 820, 516, 23, 181

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 820, 516, 23, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 516, 23, 181 is 1.

Therefore, GCD of numbers 820, 516, 23, 181 is 1

Given Input Data is 820, 516, 23, 181

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Prime Factorization of 23 is 23

Prime Factorization of 181 is 181

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(820, 516) = 105780

GCD(820, 516) = ( 820 x 516 ) / 105780

GCD(820, 516) = 423120 / 105780

GCD(820, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 820, 516, 23, 181 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 547, 87, 710
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• GCD of 326, 638, 80, 925
• GCD of 622, 810, 40, 355

1. What is the GCD of 820, 516, 23, 181?

GCD of 820, 516, 23, 181 is 1

2. Where do I get the detailed procedure to find GCD of 820, 516, 23, 181?

You can find a detailed procedure to find GCD of 820, 516, 23, 181 on our page.

3. How to find GCD of 820, 516, 23, 181 on a calculator?

You can find the GCD of 820, 516, 23, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.