GCD of 516, 906, 71, 208 Calculator

Given Input numbers are 516, 906, 71, 208

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 516, 906, 71, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 906, 71, 208 is 1.

Therefore, GCD of numbers 516, 906, 71, 208 is 1

Given Input Data is 516, 906, 71, 208

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 906 is 2 x 3 x 151

Prime Factorization of 71 is 71

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 906) = 77916

GCD(516, 906) = ( 516 x 906 ) / 77916

GCD(516, 906) = 467496 / 77916

GCD(516, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 71

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

LCM(6, 71) = 426

GCD(6, 71) = ( 6 x 71 ) / 426

GCD(6, 71) = 426 / 426

GCD(6, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 516, 906, 71, 208 is 1

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1. What is the GCD of 516, 906, 71, 208?

GCD of 516, 906, 71, 208 is 1

2. Where do I get the detailed procedure to find GCD of 516, 906, 71, 208?

You can find a detailed procedure to find GCD of 516, 906, 71, 208 on our page.

3. How to find GCD of 516, 906, 71, 208 on a calculator?

You can find the GCD of 516, 906, 71, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.