GCD of 34, 592, 131, 324 Calculator

Given Input numbers are 34, 592, 131, 324

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 34, 592, 131, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 592, 131, 324 is 1.

Therefore, GCD of numbers 34, 592, 131, 324 is 1

Given Input Data is 34, 592, 131, 324

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 131 is 131

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(34, 592) = 10064

GCD(34, 592) = ( 34 x 592 ) / 10064

GCD(34, 592) = 20128 / 10064

GCD(34, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 34, 592, 131, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 367, 844, 793
• GCD of 49, 656, 778, 438
• GCD of 26, 555, 256, 719
• GCD of 77, 216, 413, 778
• GCD of 19, 486, 496, 663

1. What is the GCD of 34, 592, 131, 324?

GCD of 34, 592, 131, 324 is 1

2. Where do I get the detailed procedure to find GCD of 34, 592, 131, 324?

You can find a detailed procedure to find GCD of 34, 592, 131, 324 on our page.

3. How to find GCD of 34, 592, 131, 324 on a calculator?

You can find the GCD of 34, 592, 131, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.