GCD of 944, 768, 58, 436 Calculator

Given Input numbers are 944, 768, 58, 436

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 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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 944, 768, 58, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 768, 58, 436 is 2.

Therefore, GCD of numbers 944, 768, 58, 436 is 2

Given Input Data is 944, 768, 58, 436

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 436 is 2 x 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 768) = 45312

GCD(944, 768) = ( 944 x 768 ) / 45312

GCD(944, 768) = 724992 / 45312

GCD(944, 768) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 58

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

LCM(16, 58) = 464

GCD(16, 58) = ( 16 x 58 ) / 464

GCD(16, 58) = 928 / 464

GCD(16, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 944, 768, 58, 436 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 815, 43, 948
• GCD of 499, 264, 10, 440
• GCD of 264, 169, 70, 924
• GCD of 302, 323, 27, 762
• GCD of 285, 137, 45, 633

1. What is the GCD of 944, 768, 58, 436?

GCD of 944, 768, 58, 436 is 2

2. Where do I get the detailed procedure to find GCD of 944, 768, 58, 436?

You can find a detailed procedure to find GCD of 944, 768, 58, 436 on our page.

3. How to find GCD of 944, 768, 58, 436 on a calculator?

You can find the GCD of 944, 768, 58, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.