GCD of 516, 482, 71, 642 Calculator

Given Input numbers are 516, 482, 71, 642

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 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 71

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

1, 71

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 516, 482, 71, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 482, 71, 642 is 1.

Therefore, GCD of numbers 516, 482, 71, 642 is 1

Given Input Data is 516, 482, 71, 642

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 482 is 2 x 241

Prime Factorization of 71 is 71

Prime Factorization of 642 is 2 x 3 x 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, 482) = 124356

GCD(516, 482) = ( 516 x 482 ) / 124356

GCD(516, 482) = 248712 / 124356

GCD(516, 482) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 516, 482, 71, 642 is 1

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1. What is the GCD of 516, 482, 71, 642?

GCD of 516, 482, 71, 642 is 1

2. Where do I get the detailed procedure to find GCD of 516, 482, 71, 642?

You can find a detailed procedure to find GCD of 516, 482, 71, 642 on our page.

3. How to find GCD of 516, 482, 71, 642 on a calculator?

You can find the GCD of 516, 482, 71, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.