GCD of 426, 923, 312, 239 Calculator

Given Input numbers are 426, 923, 312, 239

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 426, 923, 312, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 923, 312, 239 is 1.

Therefore, GCD of numbers 426, 923, 312, 239 is 1

Given Input Data is 426, 923, 312, 239

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 923 is 13 x 71

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 239 is 239

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(426, 923) = 5538

GCD(426, 923) = ( 426 x 923 ) / 5538

GCD(426, 923) = 393198 / 5538

GCD(426, 923) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 312

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

LCM(71, 312) = 22152

GCD(71, 312) = ( 71 x 312 ) / 22152

GCD(71, 312) = 22152 / 22152

GCD(71, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 426, 923, 312, 239 is 1

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1. What is the GCD of 426, 923, 312, 239?

GCD of 426, 923, 312, 239 is 1

2. Where do I get the detailed procedure to find GCD of 426, 923, 312, 239?

You can find a detailed procedure to find GCD of 426, 923, 312, 239 on our page.

3. How to find GCD of 426, 923, 312, 239 on a calculator?

You can find the GCD of 426, 923, 312, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.