GCD of 471, 114, 83, 516 Calculator

Given Input numbers are 471, 114, 83, 516

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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

Greatest Common Divisior

We found the divisors of 471, 114, 83, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 114, 83, 516 is 1.

Therefore, GCD of numbers 471, 114, 83, 516 is 1

Given Input Data is 471, 114, 83, 516

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 83 is 83

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

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(471, 114) = 17898

GCD(471, 114) = ( 471 x 114 ) / 17898

GCD(471, 114) = 53694 / 17898

GCD(471, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 471, 114, 83, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 624, 36, 447
• GCD of 586, 484, 56, 431
• GCD of 718, 848, 43, 727
• GCD of 525, 104, 20, 922
• GCD of 273, 116, 91, 516

1. What is the GCD of 471, 114, 83, 516?

GCD of 471, 114, 83, 516 is 1

2. Where do I get the detailed procedure to find GCD of 471, 114, 83, 516?

You can find a detailed procedure to find GCD of 471, 114, 83, 516 on our page.

3. How to find GCD of 471, 114, 83, 516 on a calculator?

You can find the GCD of 471, 114, 83, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.