GCD of 642, 827, 39, 516 Calculator

Given Input numbers are 642, 827, 39, 516

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

Divisors of 642

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

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 642, 827, 39, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 827, 39, 516 is 1.

Therefore, GCD of numbers 642, 827, 39, 516 is 1

Given Input Data is 642, 827, 39, 516

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 827 is 827

Prime Factorization of 39 is 3 x 13

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(642, 827) = 530934

GCD(642, 827) = ( 642 x 827 ) / 530934

GCD(642, 827) = 530934 / 530934

GCD(642, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 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 642, 827, 39, 516 is 1

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1. What is the GCD of 642, 827, 39, 516?

GCD of 642, 827, 39, 516 is 1

2. Where do I get the detailed procedure to find GCD of 642, 827, 39, 516?

You can find a detailed procedure to find GCD of 642, 827, 39, 516 on our page.

3. How to find GCD of 642, 827, 39, 516 on a calculator?

You can find the GCD of 642, 827, 39, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.