GCD of 944, 950, 574, 644 Calculator

Given Input numbers are 944, 950, 574, 644

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 944, 950, 574, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 950, 574, 644 is 2.

Therefore, GCD of numbers 944, 950, 574, 644 is 2

Given Input Data is 944, 950, 574, 644

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 950) = 448400

GCD(944, 950) = ( 944 x 950 ) / 448400

GCD(944, 950) = 896800 / 448400

GCD(944, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 944, 950, 574, 644 is 2

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1. What is the GCD of 944, 950, 574, 644?

GCD of 944, 950, 574, 644 is 2

2. Where do I get the detailed procedure to find GCD of 944, 950, 574, 644?

You can find a detailed procedure to find GCD of 944, 950, 574, 644 on our page.

3. How to find GCD of 944, 950, 574, 644 on a calculator?

You can find the GCD of 944, 950, 574, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.