GCD of 576, 866, 76, 644 Calculator

Given Input numbers are 576, 866, 76, 644

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 576, 866, 76, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 866, 76, 644 is 2.

Therefore, GCD of numbers 576, 866, 76, 644 is 2

Given Input Data is 576, 866, 76, 644

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 866 is 2 x 433

Prime Factorization of 76 is 2 x 2 x 19

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(576, 866) = 249408

GCD(576, 866) = ( 576 x 866 ) / 249408

GCD(576, 866) = 498816 / 249408

GCD(576, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 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 576, 866, 76, 644 is 2

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1. What is the GCD of 576, 866, 76, 644?

GCD of 576, 866, 76, 644 is 2

2. Where do I get the detailed procedure to find GCD of 576, 866, 76, 644?

You can find a detailed procedure to find GCD of 576, 866, 76, 644 on our page.

3. How to find GCD of 576, 866, 76, 644 on a calculator?

You can find the GCD of 576, 866, 76, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.