GCD of 578, 600, 628, 324 Calculator

Given Input numbers are 578, 600, 628, 324

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 578, 600, 628, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 600, 628, 324 is 2.

Therefore, GCD of numbers 578, 600, 628, 324 is 2

Given Input Data is 578, 600, 628, 324

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(578, 600) = 173400

GCD(578, 600) = ( 578 x 600 ) / 173400

GCD(578, 600) = 346800 / 173400

GCD(578, 600) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 578, 600, 628, 324 is 2

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1. What is the GCD of 578, 600, 628, 324?

GCD of 578, 600, 628, 324 is 2

2. Where do I get the detailed procedure to find GCD of 578, 600, 628, 324?

You can find a detailed procedure to find GCD of 578, 600, 628, 324 on our page.

3. How to find GCD of 578, 600, 628, 324 on a calculator?

You can find the GCD of 578, 600, 628, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.