GCD of 82, 872, 576, 683 Calculator

Given Input numbers are 82, 872, 576, 683

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 82, 872, 576, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 872, 576, 683 is 1.

Therefore, GCD of numbers 82, 872, 576, 683 is 1

Given Input Data is 82, 872, 576, 683

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 683 is 683

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(82, 872) = 35752

GCD(82, 872) = ( 82 x 872 ) / 35752

GCD(82, 872) = 71504 / 35752

GCD(82, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 82, 872, 576, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 630, 809, 585
• GCD of 71, 620, 324, 127
• GCD of 93, 358, 558, 286
• GCD of 93, 704, 577, 922
• GCD of 74, 595, 353, 679

1. What is the GCD of 82, 872, 576, 683?

GCD of 82, 872, 576, 683 is 1

2. Where do I get the detailed procedure to find GCD of 82, 872, 576, 683?

You can find a detailed procedure to find GCD of 82, 872, 576, 683 on our page.

3. How to find GCD of 82, 872, 576, 683 on a calculator?

You can find the GCD of 82, 872, 576, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.