GCD of 512, 102, 73, 423 Calculator

Given Input numbers are 512, 102, 73, 423

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

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 512, 102, 73, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 102, 73, 423 is 1.

Therefore, GCD of numbers 512, 102, 73, 423 is 1

Given Input Data is 512, 102, 73, 423

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 73 is 73

Prime Factorization of 423 is 3 x 3 x 47

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(512, 102) = 26112

GCD(512, 102) = ( 512 x 102 ) / 26112

GCD(512, 102) = 52224 / 26112

GCD(512, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 512, 102, 73, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 615, 39, 521
• GCD of 839, 382, 34, 592
• GCD of 983, 982, 94, 416
• GCD of 527, 586, 16, 145
• GCD of 174, 351, 76, 661

1. What is the GCD of 512, 102, 73, 423?

GCD of 512, 102, 73, 423 is 1

2. Where do I get the detailed procedure to find GCD of 512, 102, 73, 423?

You can find a detailed procedure to find GCD of 512, 102, 73, 423 on our page.

3. How to find GCD of 512, 102, 73, 423 on a calculator?

You can find the GCD of 512, 102, 73, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.