GCD of 582, 654, 568, 800 Calculator

Given Input numbers are 582, 654, 568, 800

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

Divisors of 582

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

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 582, 654, 568, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 654, 568, 800 is 2.

Therefore, GCD of numbers 582, 654, 568, 800 is 2

Given Input Data is 582, 654, 568, 800

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(582, 654) = 63438

GCD(582, 654) = ( 582 x 654 ) / 63438

GCD(582, 654) = 380628 / 63438

GCD(582, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 568

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

LCM(6, 568) = 1704

GCD(6, 568) = ( 6 x 568 ) / 1704

GCD(6, 568) = 3408 / 1704

GCD(6, 568) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 582, 654, 568, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 226, 403, 582
• GCD of 973, 573, 699, 786
• GCD of 830, 206, 120, 198
• GCD of 283, 294, 734, 911
• GCD of 113, 929, 491, 239

1. What is the GCD of 582, 654, 568, 800?

GCD of 582, 654, 568, 800 is 2

2. Where do I get the detailed procedure to find GCD of 582, 654, 568, 800?

You can find a detailed procedure to find GCD of 582, 654, 568, 800 on our page.

3. How to find GCD of 582, 654, 568, 800 on a calculator?

You can find the GCD of 582, 654, 568, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.