GCD of 944, 289, 768, 407 Calculator

Given Input numbers are 944, 289, 768, 407

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

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 944, 289, 768, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 289, 768, 407 is 1.

Therefore, GCD of numbers 944, 289, 768, 407 is 1

Given Input Data is 944, 289, 768, 407

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

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

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 407 is 11 x 37

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(944, 289) = 272816

GCD(944, 289) = ( 944 x 289 ) / 272816

GCD(944, 289) = 272816 / 272816

GCD(944, 289) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 944, 289, 768, 407 is 1

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1. What is the GCD of 944, 289, 768, 407?

GCD of 944, 289, 768, 407 is 1

2. Where do I get the detailed procedure to find GCD of 944, 289, 768, 407?

You can find a detailed procedure to find GCD of 944, 289, 768, 407 on our page.

3. How to find GCD of 944, 289, 768, 407 on a calculator?

You can find the GCD of 944, 289, 768, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.