GCD of 506, 913, 944, 768 Calculator

Given Input numbers are 506, 913, 944, 768

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 506, 913, 944, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 913, 944, 768 is 1.

Therefore, GCD of numbers 506, 913, 944, 768 is 1

Given Input Data is 506, 913, 944, 768

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 913 is 11 x 83

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(506, 913) = 41998

GCD(506, 913) = ( 506 x 913 ) / 41998

GCD(506, 913) = 461978 / 41998

GCD(506, 913) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 944

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

LCM(11, 944) = 10384

GCD(11, 944) = ( 11 x 944 ) / 10384

GCD(11, 944) = 10384 / 10384

GCD(11, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 506, 913, 944, 768 is 1

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1. What is the GCD of 506, 913, 944, 768?

GCD of 506, 913, 944, 768 is 1

2. Where do I get the detailed procedure to find GCD of 506, 913, 944, 768?

You can find a detailed procedure to find GCD of 506, 913, 944, 768 on our page.

3. How to find GCD of 506, 913, 944, 768 on a calculator?

You can find the GCD of 506, 913, 944, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.