GCD of 923, 289, 158, 312 Calculator

Given Input numbers are 923, 289, 158, 312

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

Divisors of 923

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

1, 13, 71, 923

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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

Greatest Common Divisior

We found the divisors of 923, 289, 158, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 289, 158, 312 is 1.

Therefore, GCD of numbers 923, 289, 158, 312 is 1

Given Input Data is 923, 289, 158, 312

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 289 is 17 x 17

Prime Factorization of 158 is 2 x 79

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

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(923, 289) = 266747

GCD(923, 289) = ( 923 x 289 ) / 266747

GCD(923, 289) = 266747 / 266747

GCD(923, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 923, 289, 158, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 777, 224, 304
• GCD of 592, 312, 434, 934
• GCD of 439, 778, 879, 664
• GCD of 799, 110, 187, 854
• GCD of 314, 571, 718, 340

1. What is the GCD of 923, 289, 158, 312?

GCD of 923, 289, 158, 312 is 1

2. Where do I get the detailed procedure to find GCD of 923, 289, 158, 312?

You can find a detailed procedure to find GCD of 923, 289, 158, 312 on our page.

3. How to find GCD of 923, 289, 158, 312 on a calculator?

You can find the GCD of 923, 289, 158, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.