GCD of 576, 849, 938, 311 Calculator

Given Input numbers are 576, 849, 938, 311

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

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 576, 849, 938, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 849, 938, 311 is 1.

Therefore, GCD of numbers 576, 849, 938, 311 is 1

Given Input Data is 576, 849, 938, 311

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

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 311 is 311

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(576, 849) = 163008

GCD(576, 849) = ( 576 x 849 ) / 163008

GCD(576, 849) = 489024 / 163008

GCD(576, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 576, 849, 938, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 835, 594, 966
• GCD of 489, 228, 231, 215
• GCD of 731, 888, 639, 725
• GCD of 691, 207, 602, 159
• GCD of 828, 129, 754, 794

1. What is the GCD of 576, 849, 938, 311?

GCD of 576, 849, 938, 311 is 1

2. Where do I get the detailed procedure to find GCD of 576, 849, 938, 311?

You can find a detailed procedure to find GCD of 576, 849, 938, 311 on our page.

3. How to find GCD of 576, 849, 938, 311 on a calculator?

You can find the GCD of 576, 849, 938, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.