GCD of 944, 380, 664, 398 Calculator

Given Input numbers are 944, 380, 664, 398

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 944, 380, 664, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 380, 664, 398 is 2.

Therefore, GCD of numbers 944, 380, 664, 398 is 2

Given Input Data is 944, 380, 664, 398

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 398 is 2 x 199

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, 380) = 89680

GCD(944, 380) = ( 944 x 380 ) / 89680

GCD(944, 380) = 358720 / 89680

GCD(944, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 664

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

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

GCD(4, 664) = 2656 / 664

GCD(4, 664) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 398

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

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

GCD(4, 398) = 1592 / 796

GCD(4, 398) = 2

GCD of 944, 380, 664, 398 is 2

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1. What is the GCD of 944, 380, 664, 398?

GCD of 944, 380, 664, 398 is 2

2. Where do I get the detailed procedure to find GCD of 944, 380, 664, 398?

You can find a detailed procedure to find GCD of 944, 380, 664, 398 on our page.

3. How to find GCD of 944, 380, 664, 398 on a calculator?

You can find the GCD of 944, 380, 664, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.