GCD of 923, 386, 135, 313 Calculator

Given Input numbers are 923, 386, 135, 313

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 923, 386, 135, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 386, 135, 313 is 1.

Therefore, GCD of numbers 923, 386, 135, 313 is 1

Given Input Data is 923, 386, 135, 313

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 386 is 2 x 193

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 313 is 313

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, 386) = 356278

GCD(923, 386) = ( 923 x 386 ) / 356278

GCD(923, 386) = 356278 / 356278

GCD(923, 386) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 923, 386, 135, 313 is 1

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1. What is the GCD of 923, 386, 135, 313?

GCD of 923, 386, 135, 313 is 1

2. Where do I get the detailed procedure to find GCD of 923, 386, 135, 313?

You can find a detailed procedure to find GCD of 923, 386, 135, 313 on our page.

3. How to find GCD of 923, 386, 135, 313 on a calculator?

You can find the GCD of 923, 386, 135, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.