GCD of 39, 756, 321, 573 Calculator

Given Input numbers are 39, 756, 321, 573

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

Divisors of 39

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

1, 3, 13, 39

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 39, 756, 321, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 756, 321, 573 is 3.

Therefore, GCD of numbers 39, 756, 321, 573 is 3

Given Input Data is 39, 756, 321, 573

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 321 is 3 x 107

Prime Factorization of 573 is 3 x 191

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(39, 756) = 9828

GCD(39, 756) = ( 39 x 756 ) / 9828

GCD(39, 756) = 29484 / 9828

GCD(39, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 321

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

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

GCD(3, 321) = 963 / 321

GCD(3, 321) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 573

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

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

GCD(3, 573) = 1719 / 573

GCD(3, 573) = 3

GCD of 39, 756, 321, 573 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 984, 635, 331
• GCD of 55, 837, 982, 881
• GCD of 79, 688, 225, 436
• GCD of 43, 718, 766, 134
• GCD of 65, 733, 960, 743

1. What is the GCD of 39, 756, 321, 573?

GCD of 39, 756, 321, 573 is 3

2. Where do I get the detailed procedure to find GCD of 39, 756, 321, 573?

You can find a detailed procedure to find GCD of 39, 756, 321, 573 on our page.

3. How to find GCD of 39, 756, 321, 573 on a calculator?

You can find the GCD of 39, 756, 321, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.