GCD of 584, 566, 100 Calculator

Given Input numbers are 584, 566, 100

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 584, 566, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 566, 100 is 2.

Therefore, GCD of numbers 584, 566, 100 is 2

Given Input Data is 584, 566, 100

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 566 is 2 x 283

Prime Factorization of 100 is 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(584, 566) = 165272

GCD(584, 566) = ( 584 x 566 ) / 165272

GCD(584, 566) = 330544 / 165272

GCD(584, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 584, 566, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 983, 257
• GCD of 672, 442, 337
• GCD of 866, 725, 260
• GCD of 621, 773, 277
• GCD of 157, 994, 925

1. What is the GCD of 584, 566, 100?

GCD of 584, 566, 100 is 2

2. Where do I get the detailed procedure to find GCD of 584, 566, 100?

You can find a detailed procedure to find GCD of 584, 566, 100 on our page.

3. How to find GCD of 584, 566, 100 on a calculator?

You can find the GCD of 584, 566, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.