GCD of 923, 318, 477, 132 Calculator

Given Input numbers are 923, 318, 477, 132

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 923, 318, 477, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 318, 477, 132 is 1.

Therefore, GCD of numbers 923, 318, 477, 132 is 1

Given Input Data is 923, 318, 477, 132

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 132 is 2 x 2 x 3 x 11

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, 318) = 293514

GCD(923, 318) = ( 923 x 318 ) / 293514

GCD(923, 318) = 293514 / 293514

GCD(923, 318) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 923, 318, 477, 132 is 1

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1. What is the GCD of 923, 318, 477, 132?

GCD of 923, 318, 477, 132 is 1

2. Where do I get the detailed procedure to find GCD of 923, 318, 477, 132?

You can find a detailed procedure to find GCD of 923, 318, 477, 132 on our page.

3. How to find GCD of 923, 318, 477, 132 on a calculator?

You can find the GCD of 923, 318, 477, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.