GCD of 309, 885, 642, 512 Calculator

Given Input numbers are 309, 885, 642, 512

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 309, 885, 642, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 885, 642, 512 is 1.

Therefore, GCD of numbers 309, 885, 642, 512 is 1

Given Input Data is 309, 885, 642, 512

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(309, 885) = 91155

GCD(309, 885) = ( 309 x 885 ) / 91155

GCD(309, 885) = 273465 / 91155

GCD(309, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 642

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

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

GCD(3, 642) = 1926 / 642

GCD(3, 642) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 512

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

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

GCD(3, 512) = 1536 / 1536

GCD(3, 512) = 1

GCD of 309, 885, 642, 512 is 1

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1. What is the GCD of 309, 885, 642, 512?

GCD of 309, 885, 642, 512 is 1

2. Where do I get the detailed procedure to find GCD of 309, 885, 642, 512?

You can find a detailed procedure to find GCD of 309, 885, 642, 512 on our page.

3. How to find GCD of 309, 885, 642, 512 on a calculator?

You can find the GCD of 309, 885, 642, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.