GCD of 944, 868, 74, 582 Calculator

Given Input numbers are 944, 868, 74, 582

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 944, 868, 74, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 868, 74, 582 is 2.

Therefore, GCD of numbers 944, 868, 74, 582 is 2

Given Input Data is 944, 868, 74, 582

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 74 is 2 x 37

Prime Factorization of 582 is 2 x 3 x 97

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, 868) = 204848

GCD(944, 868) = ( 944 x 868 ) / 204848

GCD(944, 868) = 819392 / 204848

GCD(944, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 582

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

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

GCD(2, 582) = 1164 / 582

GCD(2, 582) = 2

GCD of 944, 868, 74, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 450, 85, 411
• GCD of 512, 635, 82, 471
• GCD of 460, 742, 40, 782
• GCD of 137, 977, 72, 533
• GCD of 847, 312, 42, 581

1. What is the GCD of 944, 868, 74, 582?

GCD of 944, 868, 74, 582 is 2

2. Where do I get the detailed procedure to find GCD of 944, 868, 74, 582?

You can find a detailed procedure to find GCD of 944, 868, 74, 582 on our page.

3. How to find GCD of 944, 868, 74, 582 on a calculator?

You can find the GCD of 944, 868, 74, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.