GCD of 566, 790, 52, 200 Calculator

Given Input numbers are 566, 790, 52, 200

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

Divisors of 566

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

1, 2, 283, 566

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 566, 790, 52, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 790, 52, 200 is 2.

Therefore, GCD of numbers 566, 790, 52, 200 is 2

Given Input Data is 566, 790, 52, 200

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 200 is 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(566, 790) = 223570

GCD(566, 790) = ( 566 x 790 ) / 223570

GCD(566, 790) = 447140 / 223570

GCD(566, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 566, 790, 52, 200 is 2

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1. What is the GCD of 566, 790, 52, 200?

GCD of 566, 790, 52, 200 is 2

2. Where do I get the detailed procedure to find GCD of 566, 790, 52, 200?

You can find a detailed procedure to find GCD of 566, 790, 52, 200 on our page.

3. How to find GCD of 566, 790, 52, 200 on a calculator?

You can find the GCD of 566, 790, 52, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.