GCD of 744, 463, 32, 892 Calculator

Given Input numbers are 744, 463, 32, 892

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 744, 463, 32, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 463, 32, 892 is 1.

Therefore, GCD of numbers 744, 463, 32, 892 is 1

Given Input Data is 744, 463, 32, 892

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 463 is 463

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 892 is 2 x 2 x 223

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, 463) = 344472

GCD(744, 463) = ( 744 x 463 ) / 344472

GCD(744, 463) = 344472 / 344472

GCD(744, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 744, 463, 32, 892 is 1

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1. What is the GCD of 744, 463, 32, 892?

GCD of 744, 463, 32, 892 is 1

2. Where do I get the detailed procedure to find GCD of 744, 463, 32, 892?

You can find a detailed procedure to find GCD of 744, 463, 32, 892 on our page.

3. How to find GCD of 744, 463, 32, 892 on a calculator?

You can find the GCD of 744, 463, 32, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.