GCD of 744, 923, 477, 492 Calculator

Given Input numbers are 744, 923, 477, 492

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 923

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

1, 13, 71, 923

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 744, 923, 477, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 923, 477, 492 is 1.

Therefore, GCD of numbers 744, 923, 477, 492 is 1

Given Input Data is 744, 923, 477, 492

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 923 is 13 x 71

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(744, 923) = 686712

GCD(744, 923) = ( 744 x 923 ) / 686712

GCD(744, 923) = 686712 / 686712

GCD(744, 923) = 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 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 744, 923, 477, 492 is 1

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1. What is the GCD of 744, 923, 477, 492?

GCD of 744, 923, 477, 492 is 1

2. Where do I get the detailed procedure to find GCD of 744, 923, 477, 492?

You can find a detailed procedure to find GCD of 744, 923, 477, 492 on our page.

3. How to find GCD of 744, 923, 477, 492 on a calculator?

You can find the GCD of 744, 923, 477, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.