GCD of 374, 366, 589, 944 Calculator

Given Input numbers are 374, 366, 589, 944

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

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

Greatest Common Divisior

We found the divisors of 374, 366, 589, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 366, 589, 944 is 1.

Therefore, GCD of numbers 374, 366, 589, 944 is 1

Given Input Data is 374, 366, 589, 944

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 589 is 19 x 31

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

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(374, 366) = 68442

GCD(374, 366) = ( 374 x 366 ) / 68442

GCD(374, 366) = 136884 / 68442

GCD(374, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 374, 366, 589, 944 is 1

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1. What is the GCD of 374, 366, 589, 944?

GCD of 374, 366, 589, 944 is 1

2. Where do I get the detailed procedure to find GCD of 374, 366, 589, 944?

You can find a detailed procedure to find GCD of 374, 366, 589, 944 on our page.

3. How to find GCD of 374, 366, 589, 944 on a calculator?

You can find the GCD of 374, 366, 589, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.